%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL157-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 11:57:47 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).
fof(f6,plain,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',or_definition) ).
fof(f9,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',or_commutativity) ).
fof(f15,axiom,
! [X0,X1] : and_star(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax',and_star_definition) ).
fof(f16,plain,
! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
inference(reorient_equations,[],[f15]) ).
fof(f19,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax',false_definition) ).
fof(f20,negated_conjecture,
and_star(x,falsehood) != falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
fof(f21,plain,
falsehood != and_star(x,falsehood),
inference(reorient_equations,[],[f20]) ).
fof(f24,plain,
! [X0,X1] : and_star(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f16,f7]) ).
fof(f26,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(definition_unfolding,[],[f9,f7,f7]) ).
fof(f32,plain,
falsehood != not(implies(not(not(x)),not(falsehood))),
inference(definition_unfolding,[],[f21,f24]) ).
fof(f34,plain,
! [X0] : implies(not(X0),truth) = implies(falsehood,X0),
inference(superposition,[],[f26,f19]) ).
fof(f36,plain,
falsehood != not(implies(not(not(falsehood)),not(x))),
inference(superposition,[],[f32,f26]) ).
fof(f40,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f4,f1]) ).
fof(f51,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f59,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),X0),
inference(forward_demodulation,[],[f51,f19]) ).
fof(f63,plain,
! [X0] : truth = implies(implies(not(falsehood),X0),X0),
inference(superposition,[],[f59,f26]) ).
fof(f83,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(implies(X1,X0),X0)),
inference(superposition,[],[f3,f1]) ).
fof(f101,plain,
! [X0,X1] : truth = implies(X1,implies(implies(X1,X0),X0)),
inference(forward_demodulation,[],[f83,f1]) ).
fof(f207,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f63,f40]) ).
fof(f288,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f63,f207]) ).
fof(f298,plain,
truth = not(falsehood),
inference(forward_demodulation,[],[f288,f1]) ).
fof(f380,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f63,f298]) ).
fof(f381,plain,
falsehood != not(implies(not(truth),not(x))),
inference(superposition,[],[f36,f298]) ).
fof(f412,plain,
falsehood != not(implies(falsehood,not(x))),
inference(forward_demodulation,[],[f381,f19]) ).
fof(f413,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f380,f1]) ).
fof(f469,plain,
! [X0] : truth = implies(X0,implies(X0,X0)),
inference(superposition,[],[f101,f40]) ).
fof(f494,plain,
! [X0] : truth = implies(X0,truth),
inference(forward_demodulation,[],[f469,f413]) ).
fof(f531,plain,
! [X0] : truth = implies(falsehood,X0),
inference(superposition,[],[f34,f494]) ).
fof(f606,plain,
not(truth) != falsehood,
inference(superposition,[],[f412,f531]) ).
fof(f624,plain,
$false,
inference(forward_subsumption_resolution,[],[f606,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL157-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:25:25 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.44 Running first-order model finding
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51 % (1375947)Will run a generic schedule for satisfiability detection.
% 0.21/0.51 % (1375958)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3248493052:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.51 % (1375953)% WARNING: option uhcvi not known.
% 0.21/0.51 % (1375952)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1764836576_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.51 % (1375955)dis+10_1_sil=32000:sp=arity:random_seed=1154675468:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.51 % (1375954)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1994729498:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.51 % (1375953)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3109579425:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.51 % (1375956)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4060715154:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.51 % (1375957)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1148697743:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.51 % TRYING [1]
% 0.21/0.51 % TRYING [2]
% 0.21/0.51 % TRYING [3]
% 0.21/0.51 % (1375956) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1375947-1375956"...
% 0.21/0.51 % (1375956)...printing done.
% 0.21/0.51 % TRYING [4]
% 0.21/0.51 % (1375956)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (1375956)------------------------------
% 0.21/0.51 % (1375956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.51 % (1375956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.51 % (1375956)CaDiCaL version: 2.1.3
% 0.21/0.51 % (1375956)Termination reason: Refutation
% 0.21/0.51 % (1375956)Time elapsed: 0.024 s
% 0.21/0.51 % (1375956)Peak memory usage: 12 MB
% 0.21/0.51 % (1375956)Instructions burned: 30 (million)
% 0.21/0.51 % (1375947)Success in time 0.061 s
% 0.21/0.51 % Vampire exiting
%------------------------------------------------------------------------------