%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n026.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 11:57:46 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.58s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 19 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 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 : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',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/Axioms/LCL001-0.ax',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/Axioms/LCL001-1.ax',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/Axioms/LCL001-1.ax',partial_order_definition2) ).
fof(f13,plain,
! [X0,X1] :
( ordered(X0,X1)
| truth != implies(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(f18,plain,
truth != implies(implies(z,x),implies(z,y)),
inference(resolution,[],[f13,f15]) ).
fof(f59,plain,
! [X0] : truth = implies(implies(X0,x),implies(truth,implies(X0,y))),
inference(superposition,[],[f3,f17]) ).
fof(f78,plain,
! [X0] : truth = implies(implies(X0,x),implies(X0,y)),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f96,plain,
truth != truth,
inference(superposition,[],[f18,f78]) ).
fof(f101,plain,
$false,
inference(trivial_inequality_removal,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.47 % Computer : n026.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 15:26:26 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.52 Running first-order model finding
% 0.24/0.52 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
% 0.24/0.58 % (2990886)Will run a generic schedule for satisfiability detection.
% 0.24/0.58 % (2990894)dis+10_1_sil=32000:sp=arity:random_seed=3480983169:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.58 % (2990897)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=825296928:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.58 % (2990893)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1550660246:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.58 % (2990891)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3500846581_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.58 % (2990896)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2216961007:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.58 % (2990895)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4208974902:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.58 % TRYING [1]
% 0.24/0.58 % TRYING [2]
% 0.24/0.58 % TRYING [3]
% 0.24/0.58 % (2990892)% WARNING: option uhcvi not known.
% 0.24/0.58 % (2990895) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2990886-2990895"...
% 0.24/0.58 % TRYING [4]
% 0.24/0.58 % (2990894) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2990886-2990894"...
% 0.24/0.58 % (2990895)...printing done.
% 0.24/0.58 % (2990896) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2990886-2990896"...
% 0.24/0.58 % (2990894)...printing done.
% 0.24/0.58 % (2990895)Refutation found. Thanks to Tanya!
% 0.24/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.58 % (2990895)------------------------------
% 0.24/0.58 % (2990895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.58 % (2990895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.58 % (2990895)CaDiCaL version: 2.1.3
% 0.24/0.58 % (2990895)Termination reason: Refutation
% 0.24/0.58 % (2990895)Time elapsed: 0.007 s
% 0.24/0.58 % (2990895)Peak memory usage: 12 MB
% 0.24/0.58 % (2990895)Instructions burned: 5 (million)
% 0.24/0.58 % (2990886)Success in time 0.055 s
% 0.24/0.58 % Vampire exiting
%------------------------------------------------------------------------------