%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL186-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 11:57:54 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-4 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f4,plain,
! [X0,X1] : true = axiom(or(not(X0),or(X1,X0))),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f6,plain,
! [X0,X1] : true = axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(reorient_equations,[],[f5]) ).
fof(f11,axiom,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f12,plain,
! [X0] : true = ifeq(axiom(X0),true,theorem(X0),true),
inference(reorient_equations,[],[f11]) ).
fof(f15,axiom,
! [X2,X0,X1] : ifeq(theorem(or(not(X0),X1)),true,ifeq(axiom(or(not(X2),X0)),true,theorem(or(not(X2),X1)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_3) ).
fof(f16,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,ifeq(axiom(or(not(X2),X0)),true,theorem(or(not(X2),X1)),true),true),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
theorem(or(not(not(p)),or(not(p),q))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f18,plain,
true != theorem(or(not(not(p)),or(not(p),q))),
inference(reorient_equations,[],[f17]) ).
fof(f23,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
inference(superposition,[],[f12,f6]) ).
fof(f24,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f23,f1]) ).
fof(f70,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,ifeq(true,true,theorem(or(not(X1),X2)),true),true),
inference(superposition,[],[f16,f4]) ).
fof(f75,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X1),X2)),true),
inference(forward_demodulation,[],[f70,f1]) ).
fof(f228,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X1),or(X1,X0))),true),
inference(superposition,[],[f75,f24]) ).
fof(f249,plain,
! [X0,X1] : true = theorem(or(not(X1),or(X1,X0))),
inference(forward_demodulation,[],[f228,f1]) ).
fof(f352,plain,
true != true,
inference(superposition,[],[f18,f249]) ).
fof(f372,plain,
$false,
inference(trivial_inequality_removal,[],[f352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL186-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:27:39 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.46 % (2509921)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (2509928)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1642399250:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (2509927)% WARNING: option uhcvi not known.
% 0.11/0.46 % (2509926)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2567478305_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (2509927)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3373765353:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (2509929)dis+10_1_sil=32000:sp=arity:random_seed=2630970201:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (2509930)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3911695826:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (2509931)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3129952022:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % TRYING [2]
% 0.11/0.46 % TRYING [3]
% 0.11/0.46 % (2509932)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3347602225:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (2509929) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2509921-2509929"...
% 0.11/0.46 % (2509930) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2509921-2509930"...
% 0.11/0.46 % (2509929)...printing done.
% 0.11/0.46 % (2509930)...printing done.
% 0.11/0.46 % (2509930)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (2509930)------------------------------
% 0.11/0.46 % (2509930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (2509930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (2509930)CaDiCaL version: 2.1.3
% 0.11/0.46 % (2509930)Termination reason: Refutation
% 0.11/0.46 % (2509930)Time elapsed: 0.013 s
% 0.11/0.46 % (2509930)Peak memory usage: 11 MB
% 0.11/0.46 % (2509930)Instructions burned: 20 (million)
% 0.11/0.46 % (2509921)Success in time 0.047 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------