%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR058+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:42:26 AM UTC 2026
% Result : Theorem 8.83s 2.62s
% Output : Refutation 8.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 8 unt; 2 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 6 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4386,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4386) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query158) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8020,plain,
! [X0] :
( ~ prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0)
& mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8029,plain,
( prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization)
| ~ mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f4386]) ).
fof(f8051,plain,
mtvisible(c_englishmt),
inference(cnf_transformation,[],[f8020]) ).
fof(f8052,plain,
! [X0] : ~ prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0),
inference(cnf_transformation,[],[f8020]) ).
fof(f8061,plain,
( prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization)
| ~ mtvisible(c_englishmt) ),
inference(cnf_transformation,[],[f8029]) ).
fof(f8084,definition,
( spl0_1
<=> mtvisible(c_englishmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f8138,definition,
( spl0_12
<=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f8140,plain,
( prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f8138]) ).
fof(f8162,plain,
( ~ spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f8061,f8138,f8084]) ).
fof(f8163,plain,
spl0_1,
inference(avatar_split_clause,[],[f8051,f8084]) ).
fof(f8184,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f8140,f8052]) ).
fof(f8185,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f8184]) ).
cnf(s16,plain,
( ~ spl0_1
| spl0_12 ),
inference(sat_conversion,[],[f8162]) ).
cnf(s17,plain,
spl0_1,
inference(sat_conversion,[],[f8163]) ).
cnf(s28,plain,
~ spl0_12,
inference(sat_conversion,[],[f8185]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s16,s28,s17]) ).
fof(f8194,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR058+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.30 % Computer : n014.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8046.5625MB
% 0.10/0.30 % OS : Linux 6.8.0-71-generic
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Sep 28 22:20:46 UTC 2026
% 0.10/0.30 % CPUTime :
% 0.10/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.31/0.35 Running first-order theorem proving
% 0.31/0.36 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.11/2.43 % (2250916)Detected formulas, will run a generic FOF schedule.
% 7.11/2.43 % (2250926)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2638836462:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 7.11/2.43 % (2250922)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=590948357:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 7.11/2.43 % (2250923)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=408183190:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 7.11/2.43 % (2250924)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3343289600:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 7.11/2.43 % (2250921)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=176258893:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 7.11/2.43 % (2250925)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=955840688:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 7.11/2.43 % (2250927)dis-21_1_sil=8000:lcm=predicate:random_seed=3107327159:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 7.11/2.43 % (2250924)Refutation not found, incomplete strategy
% 7.11/2.43 % (2250924)------------------------------
% 7.11/2.43 % (2250924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.43 % (2250924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.43 % (2250924)CaDiCaL version: 2.1.3
% 7.11/2.43 % (2250924)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.43 % (2250924)Time elapsed: 0.025 s
% 7.11/2.43 % (2250924)Peak memory usage: 93 MB
% 7.11/2.43 % (2250924)Instructions burned: 24 (million)
% 7.11/2.43 % (2250926)Instruction limit reached!
% 7.11/2.43 % (2250926)------------------------------
% 7.11/2.43 % (2250926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.43 % (2250926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.43 % (2250926)CaDiCaL version: 2.1.3
% 7.11/2.43 % (2250926)Termination reason: Instruction limit
% 7.11/2.43 % (2250926)Termination phase: Property scanning
% 7.11/2.43 % (2250926)Time elapsed: 0.086 s
% 7.11/2.43 % (2250926)Peak memory usage: 93 MB
% 7.11/2.43 % (2250926)Instructions burned: 141 (million)
% 7.11/2.43 % (2250925)Instruction limit reached!
% 7.11/2.43 % (2250925)------------------------------
% 7.11/2.43 % (2250925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.43 % (2250925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.43 % (2250925)CaDiCaL version: 2.1.3
% 7.11/2.43 % (2250925)Termination reason: Instruction limit
% 7.11/2.43 % (2250925)Termination phase: Saturation
% 7.11/2.43 % (2250925)Time elapsed: 0.084 s
% 7.11/2.43 % (2250925)Peak memory usage: 93 MB
% 7.11/2.43 % (2250925)Instructions burned: 120 (million)
% 7.11/2.43 % (2250927)Instruction limit reached!
% 7.11/2.43 % (2250927)------------------------------
% 7.11/2.43 % (2250927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.43 % (2250927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.43 % (2250927)CaDiCaL version: 2.1.3
% 7.11/2.43 % (2250927)Termination reason: Instruction limit
% 7.11/2.43 % (2250927)Termination phase: Saturation
% 7.11/2.43 % (2250927)Time elapsed: 0.120 s
% 7.11/2.43 % (2250927)Peak memory usage: 94 MB
% 7.11/2.43 % (2250927)Instructions burned: 129 (million)
% 7.11/2.43 % (2250935)lrs+10_1_sil=8000:sp=occurrence:random_seed=1045313596:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 7.11/2.43 % (2250935)Refutation not found, incomplete strategy
% 7.11/2.43 % (2250935)------------------------------
% 7.11/2.43 % (2250935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.43 % (2250935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.43 % (2250935)CaDiCaL version: 2.1.3
% 7.11/2.43 % (2250935)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.43 % (2250935)Time elapsed: 0.015 s
% 7.11/2.43 % (2250935)Peak memory usage: 94 MB
% 7.11/2.43 % (2250935)Instructions burned: 19 (million)
% 8.83/2.62 % (2250936)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2900594166:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 8.83/2.62 % (2250937)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4287608827:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 8.83/2.62 % (2250936)Refutation not found, incomplete strategy
% 8.83/2.62 % (2250936)------------------------------
% 8.83/2.62 % (2250936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.62 % (2250936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.62 % (2250936)CaDiCaL version: 2.1.3
% 8.83/2.62 % (2250936)Termination reason: Refutation not found, incomplete strategy
% 8.83/2.62 % (2250936)Time elapsed: 0.052 s
% 8.83/2.62 % (2250936)Peak memory usage: 93 MB
% 8.83/2.62 % (2250936)Instructions burned: 54 (million)
% 8.83/2.62 % (2250924)------------------------------
% 8.83/2.62 % (2250924)------------------------------
% 8.83/2.62 % (2250937)First to succeed.
% 8.83/2.62 % (2250937)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2250916"
% 8.83/2.62 % (2250935)------------------------------
% 8.83/2.62 % (2250935)------------------------------
% 8.83/2.62 % (2250942)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1801841424:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 8.83/2.62 % (2250941)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=3440875629:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 8.83/2.62 [W928 22:20:48.030110542 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030157142 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030216646 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030236059 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030281649 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030314436 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030360316 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030379266 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030422799 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030440399 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030489210 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.030514246 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 % (2250942)Refutation not found, incomplete strategy
% 8.83/2.62 % (2250942)------------------------------
% 8.83/2.62 % (2250942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.62 % (2250942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.62 % (2250942)CaDiCaL version: 2.1.3
% 8.83/2.62 % (2250942)Termination reason: Refutation not found, incomplete strategy
% 8.83/2.62 % (2250942)Time elapsed: 0.020 s
% 8.83/2.62 % (2250942)Peak memory usage: 93 MB
% 8.83/2.62 % (2250942)Instructions burned: 31 (million)
% 8.83/2.62 [W928 22:20:48.044565579 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 [W928 22:20:48.044610606 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.
% 8.83/2.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.83/2.62 % (2250936)------------------------------
% 8.83/2.62 % (2250936)------------------------------
% 8.83/2.62 % (2250937)Refutation found. Thanks to Tanya!
% 8.83/2.62 % SZS status Theorem for theBenchmark
% 8.83/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 8.83/2.62 % (2250937)------------------------------
% 8.83/2.62 % (2250937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.62 % (2250937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.62 % (2250937)CaDiCaL version: 2.1.3
% 8.83/2.62 % (2250937)Termination reason: Refutation
% 8.83/2.62 % (2250937)Time elapsed: 0.028 s
% 8.83/2.62 % (2250937)Peak memory usage: 95 MB
% 8.83/2.62 % (2250937)Instructions burned: 21 (million)
% 8.83/2.62 % (2250937)------------------------------
% 8.83/2.62 % (2250937)------------------------------
% 8.83/2.62 % (2250916)Success in time 1.33 s
% 8.83/2.62 % Vampire exiting
%------------------------------------------------------------------------------