%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL908+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:56:59 AM UTC 2026
% Result : Satisfiable 12.88s 2.79s
% Output : Saturation 12.88s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u87,axiom,
is_a_theorem(X1) ).
cnf(u100,axiom,
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ) ).
cnf(u82,axiom,
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ) ).
cnf(u94,axiom,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ) ).
cnf(u80,axiom,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ) ).
cnf(u121,axiom,
( is_a_theorem(implies(not(implies(not(X0),X1)),X2))
| ~ is_a_theorem(X0) ) ).
cnf(u72,axiom,
and(implies(X0,X1),implies(X1,X0)) = sF0(X0,X1) ).
cnf(u74,negated_conjecture,
equiv(X0,X1) = sF0(X0,X1) ).
cnf(u66,axiom,
modus_ponens ).
cnf(u76,axiom,
is_a_theorem(implies(implies(not(X0),X0),X0)) ).
cnf(u78,axiom,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ).
cnf(u68,axiom,
cn2 ).
cnf(u70,axiom,
substitution_of_equivalents ).
cnf(u64,axiom,
op_or ).
cnf(u105,axiom,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(implies(not(X0),X0),X2))) ) ).
cnf(u107,axiom,
is_a_theorem(implies(X0,X0)) ).
cnf(u97,axiom,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))) ).
cnf(u99,axiom,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))) ).
cnf(u109,axiom,
is_a_theorem(implies(X0,implies(implies(not(not(X0)),not(X0)),X1))) ).
cnf(u101,axiom,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))) ).
cnf(u103,axiom,
( is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(X0) ) ).
cnf(u95,axiom,
is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))) ).
cnf(u81,axiom,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ) ).
cnf(u120,axiom,
is_a_theorem(implies(implies(implies(not(implies(not(X0),X1)),X2),X3),implies(X0,X3))) ).
cnf(u93,negated_conjecture,
equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ).
cnf(u122,axiom,
is_a_theorem(implies(X0,implies(not(implies(not(implies(not(X0),X1)),X2)),X3))) ).
cnf(u124,axiom,
( is_a_theorem(implies(implies(X1,X2),implies(not(implies(not(X0),X3)),X2)))
| ~ is_a_theorem(X0) ) ).
cnf(u79,negated_conjecture,
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ) ).
cnf(u75,axiom,
or(X0,X1) = not(and(not(X0),not(X1))) ).
cnf(u65,axiom,
op_equiv ).
cnf(u112,axiom,
is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))) ).
cnf(u67,axiom,
cn1 ).
cnf(u77,axiom,
is_a_theorem(implies(X0,implies(not(X0),X1))) ).
cnf(u106,axiom,
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ) ).
cnf(u69,axiom,
cn3 ).
cnf(u116,axiom,
( is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X3,X2)))
| ~ is_a_theorem(X0) ) ).
cnf(u98,axiom,
( is_a_theorem(implies(implies(X0,X1),implies(not(X2),X1)))
| ~ is_a_theorem(X2) ) ).
cnf(u108,axiom,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))) ).
cnf(u110,axiom,
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) ) ).
cnf(u102,axiom,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ) ).
cnf(u96,axiom,
is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))) ).
cnf(u130,negated_conjecture,
X0 = X1 ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL908+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:05:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.49/1.40 % (422966)Detected formulas, will run a generic FOF schedule.
% 3.49/1.40 % (422973)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2065829664:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.49/1.40 % (422972)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1054416761:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.49/1.40 % (422971)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3023430731:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.49/1.40 % (422975)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1287365189:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.49/1.40 % (422976)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=404334833:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.49/1.40 % (422974)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2484644432:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.49/1.40 % (422977)dis-21_1_sil=8000:lcm=predicate:random_seed=1976219481:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.49/1.40 % (422975)Refutation not found, incomplete strategy
% 3.49/1.40 % (422975)------------------------------
% 3.49/1.40 % (422975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.40 % (422975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.40 % (422975)CaDiCaL version: 2.1.3
% 3.49/1.40 % (422974)Refutation not found, incomplete strategy
% 3.49/1.40 % (422974)------------------------------
% 3.49/1.40 % (422974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.40 % (422975)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.40 % (422975)Time elapsed: 0.0000 s
% 3.49/1.40 % (422975)Peak memory usage: 86 MB
% 3.49/1.40 % (422974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.40 % (422977)Refutation not found, incomplete strategy
% 3.49/1.40 % (422977)------------------------------
% 3.49/1.40 % (422977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.40 % (422974)CaDiCaL version: 2.1.3
% 3.49/1.40 % (422974)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.40 % (422974)Time elapsed: 0.0000 s
% 3.49/1.40 % (422977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.40 % (422974)Peak memory usage: 86 MB
% 3.49/1.40 % (422977)CaDiCaL version: 2.1.3
% 3.49/1.40 % (422977)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.40 % (422977)Time elapsed: 0.0000 s
% 3.49/1.40 % (422977)Peak memory usage: 86 MB
% 3.49/1.40 % (422976)Refutation not found, incomplete strategy
% 3.49/1.40 % (422976)------------------------------
% 3.49/1.40 % (422976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.40 % (422976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.40 % (422976)CaDiCaL version: 2.1.3
% 3.49/1.40 % (422976)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.40 % (422976)Time elapsed: 0.005 s
% 3.49/1.40 % (422976)Peak memory usage: 88 MB
% 3.49/1.40 % (422976)Instructions burned: 6 (million)
% 3.49/1.40 [W927 17:05:23.348069617 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.49/1.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.49/1.40 [W927 17:05:23.348097549 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.49/1.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.49/1.40 [W927 17:05:23.348126912 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 [W927 17:05:23.348136609 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 [W927 17:05:23.348157537 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 [W927 17:05:23.348165289 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 [W927 17:05:23.348178857 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 [W927 17:05:23.348191864 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 [W927 17:05:23.348206537 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 [W927 17:05:23.348211942 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 [W927 17:05:23.348225233 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 [W927 17:05:23.348230597 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 % (422976)------------------------------
% 6.20/1.78 % (422976)------------------------------
% 6.20/1.78 % (422975)------------------------------
% 6.20/1.78 % (422975)------------------------------
% 6.20/1.78 % (422974)------------------------------
% 6.20/1.78 % (422974)------------------------------
% 6.20/1.78 % (422977)------------------------------
% 6.20/1.78 % (422977)------------------------------
% 6.20/1.78 % (422973)Refutation not found, incomplete strategy
% 6.20/1.78 % (422973)------------------------------
% 6.20/1.78 % (422973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.78 % (422973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.78 % (422973)CaDiCaL version: 2.1.3
% 6.20/1.78 % (422973)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.78 % (422973)Time elapsed: 0.306 s
% 6.20/1.78 % (422973)Peak memory usage: 125 MB
% 6.20/1.78 % (422973)Instructions burned: 822 (million)
% 6.20/1.78 [W927 17:05:23.541241646 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.20/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.20/1.78 [W927 17:05:23.541274053 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 [W927 17:05:23.541313143 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 [W927 17:05:23.541324999 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 [W927 17:05:23.541365719 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 [W927 17:05:23.541376439 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 [W927 17:05:23.541402036 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 [W927 17:05:23.541412286 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 [W927 17:05:23.541436720 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 [W927 17:05:23.541447030 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 [W927 17:05:23.541471553 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 [W927 17:05:23.541484086 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 9.19/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 9.19/2.15 % (422986)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1144405061:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 9.19/2.15 % (422987)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4026216140:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.19/2.15 % (422988)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=98945735:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.19/2.15 % (422985)lrs+10_1_sil=8000:sp=occurrence:random_seed=796095335:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 9.19/2.15 % (422985)Refutation not found, incomplete strategy
% 9.19/2.15 % (422985)------------------------------
% 9.40/2.26 % (422985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.26 % (422987)Refutation not found, incomplete strategy
% 9.40/2.26 % (422987)------------------------------
% 9.40/2.26 % (422987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.26 % (422985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.26 % (422987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.26 % (422985)CaDiCaL version: 2.1.3
% 9.40/2.26 % (422987)CaDiCaL version: 2.1.3
% 9.40/2.26 % (422985)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.26 % (422985)Time elapsed: 0.001 s
% 9.40/2.26 % (422987)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.26 % (422987)Time elapsed: 0.001 s
% 9.40/2.26 % (422987)Peak memory usage: 86 MB
% 9.40/2.26 % (422985)Peak memory usage: 86 MB
% 9.40/2.26 % (422986)Refutation not found, incomplete strategy
% 9.40/2.26 % (422986)------------------------------
% 9.40/2.26 % (422986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.26 % (422986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.26 % (422986)CaDiCaL version: 2.1.3
% 9.40/2.26 % (422986)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.26 % (422986)Time elapsed: 0.001 s
% 9.40/2.26 % (422986)Peak memory usage: 87 MB
% 9.40/2.26 % (422973)------------------------------
% 9.40/2.26 % (422973)------------------------------
% 9.40/2.26 % (422993)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2867761124:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.40/2.26 % (422993)Refutation not found, incomplete strategy
% 9.40/2.26 % (422993)------------------------------
% 9.40/2.26 % (422993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.26 % (422993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.26 % (422993)CaDiCaL version: 2.1.3
% 9.40/2.26 % (422993)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.26 % (422993)Time elapsed: 0.0000 s
% 9.40/2.26 % (422993)Peak memory usage: 86 MB
% 9.40/2.26 % (422972)Refutation not found, incomplete strategy
% 9.40/2.26 % (422972)------------------------------
% 9.40/2.26 % (422972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.26 % (422972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.26 % (422972)CaDiCaL version: 2.1.3
% 9.40/2.26 % (422972)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.26 % (422972)Time elapsed: 0.556 s
% 9.40/2.26 % (422972)Peak memory usage: 125 MB
% 9.40/2.26 % (422972)Instructions burned: 825 (million)
% 9.40/2.26 % (422988)Instruction limit reached!
% 9.40/2.26 % (422988)------------------------------
% 9.40/2.26 % (422988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.26 % (422988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.26 % (422988)CaDiCaL version: 2.1.3
% 9.40/2.26 % (422988)Termination reason: Instruction limit
% 9.40/2.26 % (422988)Termination phase: Saturation
% 9.40/2.26 % (422988)Time elapsed: 0.160 s
% 9.40/2.26 % (422988)Peak memory usage: 92 MB
% 9.40/2.26 % (422988)Instructions burned: 248 (million)
% 9.40/2.26 % (422986)------------------------------
% 9.40/2.26 % (422986)------------------------------
% 9.40/2.26 % (422987)------------------------------
% 9.40/2.26 % (422987)------------------------------
% 9.40/2.26 % (422985)------------------------------
% 9.40/2.26 % (422985)------------------------------
% 9.40/2.26 % (422993)------------------------------
% 9.40/2.26 % (422993)------------------------------
% 9.40/2.26 % (422995)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2050421549:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 9.40/2.26 % (422971)Refutation not found, incomplete strategy
% 9.40/2.26 % (422971)------------------------------
% 9.40/2.26 % (422971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.26 % (422971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.26 % (422971)CaDiCaL version: 2.1.3
% 9.40/2.26 % (422971)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.26 % (422971)Time elapsed: 0.775 s
% 9.40/2.26 % (422971)Peak memory usage: 129 MB
% 9.40/2.26 % (422971)Instructions burned: 1158 (million)
% 9.40/2.26 % (422972)------------------------------
% 9.40/2.26 % (422972)------------------------------
% 9.40/2.26 % (422999)lrs+10_1_sil=8000:sp=occurrence:random_seed=2704288079:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.13/2.57 % (422999)Refutation not found, incomplete strategy
% 11.13/2.57 % (422999)------------------------------
% 11.13/2.57 % (422999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.57 % (422999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.57 % (422999)CaDiCaL version: 2.1.3
% 11.13/2.57 % (422999)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.57 % (422999)Time elapsed: 0.0000 s
% 11.13/2.57 % (422999)Peak memory usage: 86 MB
% 11.13/2.57 % (422996)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2380189088:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 11.13/2.57 % (422996)Refutation not found, incomplete strategy
% 11.13/2.57 % (422996)------------------------------
% 11.13/2.57 % (422996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.57 % (422996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.57 % (422996)CaDiCaL version: 2.1.3
% 11.13/2.57 % (422996)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.57 % (422996)Time elapsed: 0.001 s
% 11.13/2.57 % (422996)Peak memory usage: 86 MB
% 11.13/2.57 % (422998)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1756405238:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 11.13/2.57 % (422997)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1594935206:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 11.13/2.57 % (422998)Refutation not found, incomplete strategy
% 11.13/2.57 % (422998)------------------------------
% 11.13/2.57 % (422998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.57 % (422998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.57 % (422998)CaDiCaL version: 2.1.3
% 11.13/2.57 % (422998)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.57 % (422998)Time elapsed: 0.001 s
% 11.13/2.57 % (422998)Peak memory usage: 87 MB
% 11.13/2.57 % (422997)Refutation not found, incomplete strategy
% 11.13/2.57 % (422997)------------------------------
% 11.13/2.57 % (422997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.57 % (422997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.57 % (422997)CaDiCaL version: 2.1.3
% 11.13/2.57 % (422997)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.57 % (422997)Time elapsed: 0.001 s
% 11.13/2.57 % (422997)Peak memory usage: 87 MB
% 11.13/2.57 % (423003)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2108709024:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 11.13/2.57 % (423003)Refutation not found, incomplete strategy
% 11.13/2.57 % (423003)------------------------------
% 11.13/2.57 % (423003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.57 % (423003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.57 % (423003)CaDiCaL version: 2.1.3
% 11.13/2.57 % (423003)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.57 % (423003)Time elapsed: 0.001 s
% 11.13/2.57 % (423003)Peak memory usage: 86 MB
% 11.13/2.57 % (422999)------------------------------
% 11.13/2.57 % (422999)------------------------------
% 11.13/2.57 % (422971)------------------------------
% 11.13/2.57 % (422971)------------------------------
% 11.13/2.57 % (422996)------------------------------
% 11.13/2.57 % (422996)------------------------------
% 11.13/2.57 % (422997)------------------------------
% 11.13/2.57 % (422997)------------------------------
% 11.13/2.57 % (422998)------------------------------
% 11.13/2.57 % (422998)------------------------------
% 11.13/2.57 % (423007)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1989034769:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.13/2.57 % (423008)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=816466918:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.13/2.57 % (423008)Refutation not found, incomplete strategy
% 11.13/2.57 % (423008)------------------------------
% 11.13/2.57 % (423008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.57 % (423008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.59 % (423008)CaDiCaL version: 2.1.3
% 11.13/2.59 % (423008)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.59 % (423008)Time elapsed: 0.001 s
% 11.13/2.59 % (423008)Peak memory usage: 87 MB
% 11.13/2.59 % (423009)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=922301176:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 11.13/2.59 % (423009)Refutation not found, incomplete strategy
% 11.13/2.59 % (423009)------------------------------
% 11.13/2.59 % (423009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.59 % (423009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.59 % (423009)CaDiCaL version: 2.1.3
% 11.13/2.59 % (423009)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.59 % (423009)Time elapsed: 0.001 s
% 11.13/2.59 % (423009)Peak memory usage: 87 MB
% 11.13/2.59 % (423012)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2462475938:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/125Mi)
% 11.13/2.59 % (423011)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=40149166:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 11.13/2.59 % (423012)Refutation not found, incomplete strategy
% 11.13/2.59 % (423012)------------------------------
% 11.13/2.59 % (423012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.59 % (423012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.59 % (423012)CaDiCaL version: 2.1.3
% 11.13/2.59 % (423012)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.59 % (423012)Time elapsed: 0.001 s
% 11.13/2.59 % (423012)Peak memory usage: 87 MB
% 11.13/2.59 % (423003)------------------------------
% 11.13/2.59 % (423003)------------------------------
% 11.13/2.59 [W927 17:05:24.441340964 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441376876 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441398340 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441404194 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441417414 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441425192 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441438464 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441443855 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441456400 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441473656 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441486699 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 [W927 17:05:24.441491980 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.13/2.59 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.13/2.59 % (423017)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3950845686:i=134:gtgl=5:slsql=off:gtg=exists_sym_2986 on theBenchmark for (2986ds/134Mi)
% 11.13/2.59 % (423017)First to succeed.
% 11.13/2.59 % (423017)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-422966"
% 11.13/2.59 % (423007)Refutation not found, incomplete strategy
% 11.13/2.59 % (423007)------------------------------
% 11.13/2.59 % (423007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.59 % (423007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.59 % (423007)CaDiCaL version: 2.1.3
% 11.13/2.59 % (423007)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.59 % (423007)Time elapsed: 0.309 s
% 11.13/2.59 % (423007)Peak memory usage: 125 MB
% 11.13/2.59 % (423007)Instructions burned: 824 (million)
% 11.13/2.59 % (423008)------------------------------
% 11.13/2.59 % (423008)------------------------------
% 11.13/2.59 % (423009)------------------------------
% 11.13/2.59 % (423009)------------------------------
% 11.13/2.59 % (423012)------------------------------
% 11.13/2.59 % (423012)------------------------------
% 11.13/2.59 % (423007)------------------------------
% 11.13/2.59 % (423007)------------------------------
% 11.13/2.59 % (423019)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2254394371:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/141Mi)
% 11.13/2.59 % (423019)Refutation not found, incomplete strategy
% 11.13/2.59 % (423019)------------------------------
% 11.13/2.59 % (423019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.59 % (423019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.59 % (423019)CaDiCaL version: 2.1.3
% 11.13/2.59 % (423019)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.59 % (423019)Time elapsed: 0.001 s
% 11.13/2.59 % (423020)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3626882058:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2984 on theBenchmark for (2984ds/431Mi)
% 11.13/2.59 % (423019)Peak memory usage: 87 MB
% 11.13/2.59 % (423020)Refutation not found, incomplete strategy
% 11.13/2.59 % (423020)------------------------------
% 11.13/2.59 % (423020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.59 % (423020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.59 % (423020)CaDiCaL version: 2.1.3
% 11.13/2.59 % (423020)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.59 % (423020)Time elapsed: 0.0000 s
% 11.13/2.59 % (423020)Peak memory usage: 86 MB
% 11.13/2.59 % (423021)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1594437678:i=6060:aac=none:ins=25_2984 on theBenchmark for (2984ds/6060Mi)
% 11.13/2.59 [W927 17:05:24.749151710 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749185033 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749225683 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749237396 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749262306 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749273043 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749297583 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749320747 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749347647 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749358453 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749383250 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 [W927 17:05:24.749393960 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/2.79 % SZS status Satisfiable for theBenchmark
% 12.88/2.79 % SZS output start Saturation.
% See solution above
% 12.88/2.79 % SZS output start Definitions and Model Updates.
% 12.88/2.79 for all inputs,
% 12.88/2.79 define op_and := $false
% 12.88/2.79 for all inputs,
% 12.88/2.79 define op_implies_and := $false
% 12.88/2.79 for all inputs,
% 12.88/2.79 define op_implies_or := $false
% 12.88/2.79 for all inputs,
% 12.88/2.79 define op_implies := $true
% 12.88/2.79 for all groundings,
% 12.88/2.79 whenever ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(implies(X0,X1))) => is_a_theorem(X1)) is true, set modus_ponens to true
% 12.88/2.79 for all groundings,
% 12.88/2.79 whenever ! [X0,X1] : (is_a_theorem(equiv(X0,X1)) => X0 = X1) is true, set substitution_of_equivalents to true
% 12.88/2.79 for all inputs,
% 12.88/2.79 define modus_tollens := ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define implies_1 := ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define implies_2 := ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define implies_3 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define and_1 := ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define and_2 := ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define and_3 := ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define or_1 := ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define or_2 := ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define or_3 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define equivalence_1 := ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define equivalence_2 := ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define equivalence_3 := ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define kn1 := ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define kn2 := ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define kn3 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
% 12.88/2.79 for all groundings,
% 12.88/2.79 whenever ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) is true, set cn1 to true
% 12.88/2.79 for all groundings,
% 12.88/2.79 whenever ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) is true, set cn2 to true
% 12.88/2.79 for all groundings,
% 12.88/2.79 whenever ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) is true, set cn3 to true
% 12.88/2.79 for all inputs,
% 12.88/2.79 define r1 := ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define r2 := ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define r3 := ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define r4 := ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
% 12.88/2.79 for all inputs,
% 12.88/2.79 define r5 := ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
% 12.88/2.79 % SZS output end Definitions and Model Updates.
% 12.88/2.79 % (423017)------------------------------
% 12.88/2.79 % (423017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/2.79 % (423017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.79 % (423017)CaDiCaL version: 2.1.3
% 12.88/2.79 % (423017)Termination reason: Satisfiable
% 12.88/2.79 % (423017)Time elapsed: 0.008 s
% 12.88/2.79 % (423017)Peak memory usage: 89 MB
% 12.88/2.79 % (423017)Instructions burned: 10 (million)
% 12.88/2.79 % (423017)------------------------------
% 12.88/2.79 % (423017)------------------------------
% 12.88/2.79 % (422966)Success in time 1.749 s
% 12.88/2.79 % Vampire exiting
%------------------------------------------------------------------------------