%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:51:13 AM UTC 2026
% Result : Unsatisfiable 2.69s 1.43s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 19 unt; 0 def)
% Number of atoms : 41 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f7,axiom,
! [X0,X1] : big_V(X0,X1) = implies(implies(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',big_V_definition) ).
fof(f8,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
inference(reorient_equations,[],[f7]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partial_order_definition1) ).
fof(f11,plain,
! [X0,X1] :
( ~ ordered(X0,X1)
| truth = implies(X0,X1) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] :
( implies(X0,X1) != truth
| ordered(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partial_order_definition2) ).
fof(f13,plain,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ordered(implies(X0,X2),implies(X1,X2))
| ~ ordered(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ ordered(X0,implies(X1,X2))
| ordered(X1,implies(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_1) ).
fof(f23,negated_conjecture,
big_V(implies(x,y),implies(y,x)) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_4) ).
fof(f24,plain,
truth != big_V(implies(x,y),implies(y,x)),
inference(reorient_equations,[],[f23]) ).
fof(f26,plain,
truth != implies(implies(implies(x,y),implies(y,x)),implies(y,x)),
inference(definition_unfolding,[],[f24,f8]) ).
fof(f31,plain,
! [X0] :
( truth != X0
| ordered(truth,X0) ),
inference(superposition,[],[f13,f1]) ).
fof(f32,plain,
ordered(truth,truth),
inference(equality_resolution,[],[f31]) ).
fof(f34,plain,
! [X0,X1] :
( ordered(X0,implies(X1,X0))
| ~ ordered(truth,X1) ),
inference(superposition,[],[f14,f1]) ).
fof(f35,plain,
! [X0,X1] :
( ordered(implies(X1,X0),X0)
| ~ ordered(X1,truth) ),
inference(superposition,[],[f14,f1]) ).
fof(f43,plain,
! [X0] :
( ordered(X0,X0)
| ~ ordered(truth,truth) ),
inference(superposition,[],[f34,f1]) ).
fof(f44,plain,
! [X0] : ordered(X0,X0),
inference(forward_subsumption_resolution,[],[f43,f32]) ).
fof(f49,plain,
! [X0] : truth = implies(X0,X0),
inference(resolution,[],[f44,f11]) ).
fof(f50,plain,
! [X0,X1] : ordered(X0,implies(implies(X0,X1),X1)),
inference(resolution,[],[f44,f16]) ).
fof(f52,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(superposition,[],[f4,f1]) ).
fof(f67,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(forward_demodulation,[],[f52,f49]) ).
fof(f227,plain,
! [X0] : ordered(X0,truth),
inference(superposition,[],[f50,f67]) ).
fof(f401,plain,
! [X0] :
( ordered(truth,X0)
| ~ ordered(X0,truth) ),
inference(superposition,[],[f35,f49]) ).
fof(f403,plain,
! [X0] : ordered(truth,X0),
inference(forward_subsumption_resolution,[],[f401,f227]) ).
fof(f411,plain,
! [X0] : truth = implies(truth,X0),
inference(resolution,[],[f403,f11]) ).
fof(f554,plain,
! [X0] : truth = X0,
inference(superposition,[],[f1,f411]) ).
fof(f692,plain,
truth != truth,
inference(superposition,[],[f26,f554]) ).
fof(f732,plain,
$false,
inference(trivial_inequality_removal,[],[f692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n009.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 15:22:15 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 2.69/1.43 % (2163753)Input is clausal, will run a generic CNF schedule.
% 2.69/1.43 % (2163769)lrs+10_1_sil=8000:sp=occurrence:random_seed=4272253138:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/1.43 % (2163769)First to succeed.
% 2.69/1.43 % (2163769)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2163753"
% 2.69/1.43 % (2163772)dis-21_1_sil=8000:lcm=predicate:random_seed=1200559688:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.69/1.43 % (2163767)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1105807767:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/1.43 % (2163768)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=985535097:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/1.43 % (2163766)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=338066959:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/1.43 % (2163772)Refutation not found, incomplete strategy
% 2.69/1.43 % (2163772)------------------------------
% 2.69/1.43 % (2163772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.43 % (2163772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.43 % (2163772)CaDiCaL version: 2.1.3
% 2.69/1.43 % (2163772)Termination reason: Refutation not found, incomplete strategy
% 2.69/1.43 % (2163772)Time elapsed: 0.002 s
% 2.69/1.43 % (2163772)Peak memory usage: 88 MB
% 2.69/1.43 % (2163772)Instructions burned: 1 (million)
% 2.69/1.43 % (2163771)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=766645162:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/1.43 % (2163770)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3661830565:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/1.43 % (2163771)Also succeeded, but the first one will report.
% 2.69/1.43 % (2163770)Instruction limit reached!
% 2.69/1.43 % (2163770)------------------------------
% 2.69/1.43 % (2163770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.43 % (2163770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.43 % (2163770)CaDiCaL version: 2.1.3
% 2.69/1.43 % (2163770)Termination reason: Instruction limit
% 2.69/1.43 % (2163770)Termination phase: Saturation
% 2.69/1.43 % (2163770)Time elapsed: 0.073 s
% 2.69/1.43 % (2163770)Peak memory usage: 89 MB
% 2.69/1.43 % (2163770)Instructions burned: 114 (million)
% 2.69/1.43 % (2163769)Refutation found. Thanks to Tanya!
% 2.69/1.43 % SZS status Unsatisfiable for theBenchmark
% 2.69/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.43 % (2163769)------------------------------
% 2.69/1.43 % (2163769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.43 % (2163769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.43 % (2163769)CaDiCaL version: 2.1.3
% 2.69/1.43 % (2163769)Termination reason: Refutation
% 2.69/1.43 % (2163769)Time elapsed: 0.010 s
% 2.69/1.43 % (2163769)Peak memory usage: 89 MB
% 2.69/1.43 % (2163769)Instructions burned: 27 (million)
% 2.69/1.43 % (2163769)------------------------------
% 2.69/1.43 % (2163769)------------------------------
% 2.69/1.43 % (2163753)Success in time 0.274 s
% 2.69/1.43 % Vampire exiting
%------------------------------------------------------------------------------