%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL407-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:52:19 AM UTC 2026
% Result : Satisfiable 10.90s 2.64s
% Output : Saturation 10.90s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u216,negated_conjecture,
and_star(truth,X0) = and_star(truth,xor(falsehood,X0)) ).
cnf(u317,negated_conjecture,
and_star(xor(and_star(xor(falsehood,X0),X1),truth),X1) = and_star(xor(and_star(xor(falsehood,X0),xor(falsehood,X1)),truth),xor(falsehood,X1)) ).
cnf(u29,negated_conjecture,
falsehood = and_star(xor(truth,X0),xor(falsehood,X0)) ).
cnf(axiom_4,negated_conjecture,
and_star(X0,truth) = X0 ).
cnf(u24,negated_conjecture,
falsehood = xor(X0,xor(truth,xor(X0,truth))) ).
cnf(u4,negated_conjecture,
falsehood = xor(X0,X0) ).
cnf(axiom_7,axiom,
xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1) ).
cnf(u219,negated_conjecture,
falsehood = and_star(xor(and_star(truth,X0),truth),xor(falsehood,X0)) ).
cnf(u28,negated_conjecture,
falsehood = xor(xor(falsehood,X0),X0) ).
cnf(u51,negated_conjecture,
falsehood = and_star(xor(and_star(truth,X0),truth),X0) ).
cnf(u152,negated_conjecture,
truth = xor(falsehood,truth) ).
cnf(u7,negated_conjecture,
falsehood = and_star(X0,falsehood) ).
cnf(u145,negated_conjecture,
falsehood = and_star(xor(falsehood,X0),xor(truth,X0)) ).
cnf(axiom_2,negated_conjecture,
xor(X0,falsehood) = X0 ).
cnf(u9,negated_conjecture,
falsehood = and_star(xor(truth,X0),X0) ).
cnf(u354,negated_conjecture,
and_star(xor(and_star(xor(falsehood,X1),xor(truth,X0)),truth),xor(truth,X0)) = and_star(xor(and_star(xor(falsehood,X0),xor(truth,X1)),truth),xor(truth,X1)) ).
cnf(u268,negated_conjecture,
and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X0),xor(falsehood,X1)),truth),xor(falsehood,X1)) ).
cnf(u144,negated_conjecture,
and_star(xor(and_star(xor(truth,X1),xor(truth,X0)),truth),xor(truth,X0)) = and_star(xor(and_star(xor(falsehood,X0),X1),truth),X1) ).
cnf(u254,negated_conjecture,
and_star(xor(and_star(xor(truth,X1),xor(falsehood,X0)),truth),xor(falsehood,X0)) = and_star(xor(and_star(xor(truth,X0),xor(falsehood,X1)),truth),xor(falsehood,X1)) ).
cnf(u154,negated_conjecture,
xor(truth,X0) = xor(falsehood,xor(truth,X0)) ).
cnf(u23,negated_conjecture,
xor(truth,xor(truth,X0)) = xor(falsehood,X0) ).
cnf(u251,negated_conjecture,
and_star(xor(and_star(xor(truth,X1),xor(truth,X0)),truth),xor(truth,X0)) = and_star(xor(and_star(xor(falsehood,X0),xor(falsehood,X1)),truth),xor(falsehood,X1)) ).
cnf(u42,negated_conjecture,
and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),xor(falsehood,X0)),truth),xor(falsehood,X0)) ).
cnf(u25,negated_conjecture,
xor(X0,X1) = xor(X0,xor(falsehood,X1)) ).
cnf(u67,negated_conjecture,
and_star(xor(and_star(falsehood,X0),truth),X0) = xor(xor(truth,X0),truth) ).
cnf(axiom_8,negated_conjecture,
and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL407-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:40:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.45 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
% 7.01/2.31 % (2578028)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.01/2.31 % (2578034)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=855191914:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.01/2.31 % (2578033)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=943037993:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.01/2.31 % (2578035)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3042176961:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.01/2.31 % (2578036)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=788896562:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.01/2.31 % (2578037)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3844464364:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.01/2.31 % (2578037)Refutation not found, incomplete strategy
% 7.01/2.31 % (2578037)------------------------------
% 7.01/2.31 % (2578037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/2.31 % (2578037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/2.31 % (2578037)CaDiCaL version: 2.1.3
% 7.01/2.31 % (2578037)Termination reason: Refutation not found, incomplete strategy
% 7.01/2.31 % (2578037)Time elapsed: 0.009 s
% 7.01/2.31 % (2578037)Peak memory usage: 88 MB
% 7.01/2.31 % (2578037)Instructions burned: 7 (million)
% 7.01/2.31 % (2578036)Refutation not found, incomplete strategy
% 7.01/2.31 % (2578036)------------------------------
% 7.01/2.31 % (2578036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/2.31 % (2578036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/2.31 % (2578036)CaDiCaL version: 2.1.3
% 7.01/2.31 % (2578036)Termination reason: Refutation not found, incomplete strategy
% 7.01/2.31 % (2578036)Time elapsed: 0.029 s
% 7.01/2.31 % (2578036)Peak memory usage: 87 MB
% 7.01/2.31 % (2578036)Instructions burned: 30 (million)
% 7.01/2.31 % (2578038)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1976568441:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.01/2.31 % (2578039)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4275757553:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.01/2.31 % (2578039)Refutation not found, incomplete strategy
% 7.01/2.31 % (2578039)------------------------------
% 7.01/2.31 % (2578039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/2.31 % (2578039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/2.31 % (2578039)CaDiCaL version: 2.1.3
% 7.01/2.31 % (2578039)Termination reason: Refutation not found, incomplete strategy
% 7.01/2.31 % (2578039)Time elapsed: 0.001 s
% 7.01/2.31 % (2578039)Peak memory usage: 86 MB
% 7.01/2.31 % (2578038)Refutation not found, incomplete strategy
% 7.01/2.31 % (2578038)------------------------------
% 7.01/2.31 % (2578038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/2.31 % (2578038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/2.31 % (2578038)CaDiCaL version: 2.1.3
% 7.01/2.31 % (2578038)Termination reason: Refutation not found, incomplete strategy
% 7.01/2.31 % (2578038)Time elapsed: 0.024 s
% 7.01/2.31 % (2578038)Peak memory usage: 88 MB
% 7.01/2.31 % (2578038)Instructions burned: 23 (million)
% 7.01/2.31 [W927 15:40:31.235868619 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.
% 7.01/2.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.01/2.31 [W927 15:40:31.235957499 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 [W927 15:40:31.235996337 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 [W927 15:40:31.236015647 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 [W927 15:40:31.236041845 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 [W927 15:40:31.236051617 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 [W927 15:40:31.236077185 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 [W927 15:40:31.236097012 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 [W927 15:40:31.236121663 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 [W927 15:40:31.236131406 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 [W927 15:40:31.236156130 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 [W927 15:40:31.236165479 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.
% 10.90/2.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 10.90/2.64 % (2578037)------------------------------
% 10.90/2.64 % (2578037)------------------------------
% 10.90/2.64 % (2578036)------------------------------
% 10.90/2.64 % (2578036)------------------------------
% 10.90/2.64 % (2578039)------------------------------
% 10.90/2.64 % (2578039)------------------------------
% 10.90/2.64 % (2578038)------------------------------
% 10.90/2.64 % (2578038)------------------------------
% 10.90/2.64 % (2578034)Refutation not found, incomplete strategy
% 10.90/2.64 % (2578034)------------------------------
% 10.90/2.64 % (2578034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (2578034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (2578034)CaDiCaL version: 2.1.3
% 10.90/2.64 % (2578034)Termination reason: Refutation not found, incomplete strategy
% 10.90/2.64 % (2578034)Time elapsed: 0.492 s
% 10.90/2.64 % (2578034)Peak memory usage: 125 MB
% 10.90/2.64 % (2578034)Instructions burned: 824 (million)
% 10.90/2.64 % (2578047)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2053135990:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2993 on theBenchmark for (2993ds/2051Mi)
% 10.90/2.64 % (2578048)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=124963605:i=4948:ss=axioms:sgt=16_2993 on theBenchmark for (2993ds/4948Mi)
% 10.90/2.64 % (2578049)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=726048739:i=215:ep=RSTC_2993 on theBenchmark for (2993ds/215Mi)
% 10.90/2.64 % (2578049)Refutation not found, incomplete strategy
% 10.90/2.64 % (2578049)------------------------------
% 10.90/2.64 % (2578049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (2578049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (2578049)CaDiCaL version: 2.1.3
% 10.90/2.64 % (2578049)Termination reason: Refutation not found, incomplete strategy
% 10.90/2.64 % (2578049)Time elapsed: 0.002 s
% 10.90/2.64 % (2578049)Peak memory usage: 87 MB
% 10.90/2.64 % (2578034)------------------------------
% 10.90/2.64 % (2578034)------------------------------
% 10.90/2.64 % (2578050)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=710918513:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 10.90/2.64 % (2578035)First to succeed.
% 10.90/2.64 % (2578035)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2578028"
% 10.90/2.64 % (2578050)Instruction limit reached!
% 10.90/2.64 % (2578050)------------------------------
% 10.90/2.64 % (2578050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (2578050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (2578050)CaDiCaL version: 2.1.3
% 10.90/2.64 % (2578050)Termination reason: Instruction limit
% 10.90/2.64 % (2578050)Termination phase: Saturation
% 10.90/2.64 % (2578050)Time elapsed: 0.259 s
% 10.90/2.64 % (2578050)Peak memory usage: 89 MB
% 10.90/2.64 % (2578050)Instructions burned: 317 (million)
% 10.90/2.64 % (2578054)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2670473266:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/12125Mi)
% 10.90/2.64 % (2578049)------------------------------
% 10.90/2.64 % (2578049)------------------------------
% 10.90/2.64 % SZS status Satisfiable for theBenchmark
% 10.90/2.64 % SZS output start Saturation.
% See solution above
% 10.90/2.64 % SZS output start Definitions and Model Updates.
% 10.90/2.64 for all inputs,
% 10.90/2.64 define not(X0) := xor(X0,truth)
% 10.90/2.64 % SZS output end Definitions and Model Updates.
% 10.90/2.64 % (2578035)------------------------------
% 10.90/2.64 % (2578035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.64 % (2578035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.64 % (2578035)CaDiCaL version: 2.1.3
% 10.90/2.64 % (2578035)Termination reason: Satisfiable
% 10.90/2.64 % (2578035)Time elapsed: 0.927 s
% 10.90/2.64 % (2578035)Peak memory usage: 127 MB
% 10.90/2.64 % (2578035)Instructions burned: 938 (million)
% 10.90/2.64 % (2578035)------------------------------
% 10.90/2.64 % (2578035)------------------------------
% 10.90/2.64 % (2578028)Success in time 1.438 s
% 10.90/2.64 % Vampire exiting
%------------------------------------------------------------------------------