%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ROB003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:36:19 PM UTC 2026
% Result : Unsatisfiable 1.08s 0.58s
% Output : Refutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
fof(f4,axiom,
! [X0] : add(X0,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_exists_a_constant) ).
fof(f5,plain,
! [X0] : c = add(X0,c),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
fof(f7,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
inference(reorient_equations,[],[f6]) ).
fof(f11,plain,
! [X0] : c = add(c,X0),
inference(superposition,[],[f5,f1]) ).
fof(f33,plain,
! [X0] : negate(add(negate(c),negate(add(X0,negate(c))))) = X0,
inference(superposition,[],[f3,f5]) ).
fof(f35,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f37,plain,
! [X0] : c = negate(add(negate(c),negate(add(c,negate(X0))))),
inference(superposition,[],[f3,f11]) ).
fof(f49,plain,
c = negate(add(negate(c),negate(c))),
inference(forward_demodulation,[],[f37,f11]) ).
fof(f56,plain,
! [X0] : negate(add(negate(add(X0,add(negate(c),negate(c)))),negate(add(X0,c)))) = X0,
inference(superposition,[],[f3,f49]) ).
fof(f57,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(X0,add(negate(c),negate(c)))))) = X0,
inference(forward_demodulation,[],[f56,f1]) ).
fof(f58,plain,
! [X0] : negate(add(negate(c),negate(add(X0,add(negate(c),negate(c)))))) = X0,
inference(forward_demodulation,[],[f57,f5]) ).
fof(f60,plain,
! [X0] : negate(add(negate(c),negate(add(negate(c),X0)))) = X0,
inference(superposition,[],[f33,f1]) ).
fof(f61,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(c),negate(add(X0,add(X1,negate(c)))))),
inference(superposition,[],[f33,f2]) ).
fof(f69,plain,
! [X0] : add(X0,negate(c)) = X0,
inference(backward_demodulation,[],[f58,f61]) ).
fof(f75,plain,
! [X0] : negate(add(negate(c),negate(X0))) = X0,
inference(backward_demodulation,[],[f33,f69]) ).
fof(f76,plain,
! [X0] : add(negate(c),X0) = X0,
inference(backward_demodulation,[],[f60,f75]) ).
fof(f80,plain,
! [X0] : negate(negate(X0)) = X0,
inference(backward_demodulation,[],[f75,f76]) ).
fof(f243,plain,
! [X0,X1] : negate(X0) = add(negate(add(X1,X0)),negate(add(X0,negate(X1)))),
inference(superposition,[],[f80,f35]) ).
fof(f1440,plain,
! [X0,X1] : negate(X1) = add(negate(add(X0,X1)),negate(add(negate(X0),X1))),
inference(superposition,[],[f243,f1]) ).
fof(f1482,plain,
b != negate(negate(b)),
inference(backward_demodulation,[],[f7,f1440]) ).
fof(f1511,plain,
$false,
inference(forward_subsumption_resolution,[],[f1482,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n014.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 23:25:01 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/0.58 % (1281296)Will run a generic schedule for satisfiability detection.
% 1.08/0.58 % (1281301)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3400674881_2999 on theBenchmark for (2999ds/0Mi)
% 1.08/0.58 % (1281303)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3375798642:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.08/0.58 % (1281304)dis+10_1_sil=32000:sp=arity:random_seed=261583525:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.08/0.58 % (1281305)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1218619047:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.08/0.58 % (1281307)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1291345781:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.08/0.58 % (1281302)% WARNING: option uhcvi not known.
% 1.08/0.58 % TRYING [1]
% 1.08/0.58 % TRYING [2]
% 1.08/0.58 % (1281306)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1411655867:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.08/0.58 % TRYING [3]
% 1.08/0.58 % TRYING [4]
% 1.08/0.58 % (1281302)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2793561124:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.08/0.58 % TRYING [5]
% 1.08/0.58 % (1281306)Instruction limit reached!
% 1.08/0.58 % (1281306)------------------------------
% 1.08/0.58 % (1281306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1281306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1281306)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1281306)Termination reason: Instruction limit
% 1.08/0.58 % (1281306)Termination phase: Saturation
% 1.08/0.58 % (1281306)Time elapsed: 0.042 s
% 1.08/0.58 % (1281306)Peak memory usage: 12 MB
% 1.08/0.58 % (1281306)Instructions burned: 134 (million)
% 1.08/0.58 % (1281304)Instruction limit reached!
% 1.08/0.58 % (1281304)------------------------------
% 1.08/0.58 % (1281304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1281304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1281304)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1281304)Termination reason: Instruction limit
% 1.08/0.58 % (1281304)Termination phase: Saturation
% 1.08/0.58 % (1281304)Time elapsed: 0.055 s
% 1.08/0.58 % (1281304)Peak memory usage: 12 MB
% 1.08/0.58 % (1281304)Instructions burned: 105 (million)
% 1.08/0.58 % (1281315)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4009517620:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.08/0.58 % TRYING [1]
% 1.08/0.58 % TRYING [2]
% 1.08/0.58 % TRYING [3]
% 1.08/0.58 % TRYING [4]
% 1.08/0.58 % (1281305)Instruction limit reached!
% 1.08/0.58 % (1281305)------------------------------
% 1.08/0.58 % (1281305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1281305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1281305)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1281305)Termination reason: Instruction limit
% 1.08/0.58 % (1281305)Termination phase: Saturation
% 1.08/0.58 % (1281305)Time elapsed: 0.064 s
% 1.08/0.58 % (1281305)Peak memory usage: 12 MB
% 1.08/0.58 % (1281305)Instructions burned: 116 (million)
% 1.08/0.58 % TRYING [5]
% 1.08/0.58 % (1281317)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=709419041:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.08/0.58 % (1281318)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=712021417:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.08/0.58 % (1281307)Instruction limit reached!
% 1.08/0.58 % (1281307)------------------------------
% 1.08/0.58 % (1281307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1281307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1281307)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1281307)Termination reason: Instruction limit
% 1.08/0.58 % (1281307)Termination phase: Saturation
% 1.08/0.58 % (1281307)Time elapsed: 0.088 s
% 1.08/0.58 % (1281307)Peak memory usage: 11 MB
% 1.08/0.58 % (1281307)Instructions burned: 160 (million)
% 1.08/0.58 % (1281321)ott-21_1_sil=16000:fs=off:random_seed=2638029313:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.08/0.58 % (1281317) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1281296-1281317"...
% 1.08/0.58 % (1281317)...printing done.
% 1.08/0.58 % (1281317)Refutation found. Thanks to Tanya!
% 1.08/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.08/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.08/0.58 % (1281317)------------------------------
% 1.08/0.58 % (1281317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1281317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1281317)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1281317)Termination reason: Refutation
% 1.08/0.58 % (1281317)Time elapsed: 0.052 s
% 1.08/0.58 % (1281317)Peak memory usage: 12 MB
% 1.08/0.58 % (1281317)Instructions burned: 62 (million)
% 1.08/0.58 % (1281296)Success in time 0.162 s
% 1.08/0.58 % Vampire exiting
%------------------------------------------------------------------------------