%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:51:19 AM UTC 2026
% Result : Unsatisfiable 0.25s 1.90s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 20 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f2,axiom,
! [X2,X0,X1] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f3,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(reorient_equations,[],[f2]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',partial_order_definition2) ).
fof(f13,plain,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
ordered(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antecedent) ).
fof(f15,negated_conjecture,
~ ordered(implies(z,x),implies(z,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_theorem) ).
fof(f17,plain,
truth = implies(x,y),
inference(resolution,[],[f11,f14]) ).
fof(f45,plain,
! [X0] : truth = implies(implies(X0,x),implies(truth,implies(X0,y))),
inference(superposition,[],[f3,f17]) ).
fof(f71,plain,
! [X0] : truth = implies(implies(X0,x),implies(X0,y)),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f114,plain,
! [X0] :
( truth != truth
| ordered(implies(X0,x),implies(X0,y)) ),
inference(superposition,[],[f13,f71]) ).
fof(f115,plain,
! [X0] : ordered(implies(X0,x),implies(X0,y)),
inference(trivial_inequality_removal,[],[f114]) ).
fof(f169,plain,
$false,
inference(resolution,[],[f115,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n003.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 27 15:25:26 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 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
% 0.25/1.90 % (700348)Input is clausal, will run a generic CNF schedule.
% 0.25/1.90 % (700353)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=2624427176:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.25/1.90 % (700356)lrs+10_1_sil=8000:sp=occurrence:random_seed=503859630:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.25/1.90 % (700354)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2259139149:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.25/1.90 % (700359)dis-21_1_sil=8000:lcm=predicate:random_seed=1533920262: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)
% 0.25/1.90 % (700357)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1620941639:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.25/1.90 % (700355)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2109095469:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.25/1.90 % (700356)First to succeed.
% 0.25/1.90 % (700358)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1281746304:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.25/1.90 % (700356)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-700348"
% 0.25/1.90 % (700359)Refutation not found, incomplete strategy
% 0.25/1.90 % (700359)------------------------------
% 0.25/1.90 % (700359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/1.90 % (700359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/1.90 % (700359)CaDiCaL version: 2.1.3
% 0.25/1.90 % (700359)Termination reason: Refutation not found, incomplete strategy
% 0.25/1.90 % (700359)Time elapsed: 0.002 s
% 0.25/1.90 % (700359)Peak memory usage: 88 MB
% 0.25/1.90 % (700358)Also succeeded, but the first one will report.
% 0.25/1.90 % (700357)Instruction limit reached!
% 0.25/1.90 % (700357)------------------------------
% 0.25/1.90 % (700357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/1.90 % (700357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/1.90 % (700357)CaDiCaL version: 2.1.3
% 0.25/1.90 % (700357)Termination reason: Instruction limit
% 0.25/1.90 % (700357)Termination phase: Saturation
% 0.25/1.90 % (700357)Time elapsed: 0.115 s
% 0.25/1.90 % (700357)Peak memory usage: 88 MB
% 0.25/1.90 % (700357)Instructions burned: 114 (million)
% 0.25/1.90 % (700359)------------------------------
% 0.25/1.90 % (700359)------------------------------
% 0.25/1.90 % (700356)Refutation found. Thanks to Tanya!
% 0.25/1.90 % SZS status Unsatisfiable for theBenchmark
% 0.25/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/1.90 % (700356)------------------------------
% 0.25/1.90 % (700356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/1.90 % (700356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/1.90 % (700356)CaDiCaL version: 2.1.3
% 0.25/1.90 % (700356)Termination reason: Refutation
% 0.25/1.90 % (700356)Time elapsed: 0.012 s
% 0.25/1.90 % (700356)Peak memory usage: 88 MB
% 0.25/1.90 % (700356)Instructions burned: 9 (million)
% 0.25/1.90 % (700356)------------------------------
% 0.25/1.90 % (700356)------------------------------
% 0.25/1.90 % (700348)Success in time 0.706 s
% 0.25/1.90 % Vampire exiting
%------------------------------------------------------------------------------