%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 01:46:39 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : impl(btrue,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f4,axiom,
! [X0] : drop(s(X0),nil) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
fof(f5,plain,
! [X0] : nil = drop(s(X0),nil),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X0,X1] : drop(s(X0),cons(X1,X2)) = drop(X0,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(f8,axiom,
! [X2,X0,X1] : prop_drop_inj2(X0,X1,X2) = impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
fof(f18,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
fof(f19,plain,
! [X0] : btrue = eq(X0,X0),
inference(reorient_equations,[],[f18]) ).
fof(f22,axiom,
! [X0] : eq3(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
fof(f23,plain,
! [X0] : btrue = eq3(X0,X0),
inference(reorient_equations,[],[f22]) ).
fof(f30,axiom,
! [X0,X1] : eq(cons(X0,X1),nil) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
fof(f31,plain,
! [X0,X1] : bfalse = eq(cons(X0,X1),nil),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
! [X2,X0,X1] : eq3(prop_drop_inj2(X0,X1,X2),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f33,plain,
! [X2,X0,X1] : btrue != eq3(prop_drop_inj2(X0,X1,X2),bfalse),
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)),bfalse),
inference(definition_unfolding,[],[f33,f8]) ).
fof(f47,plain,
! [X0,X1] : btrue != eq3(impl(eq(drop(s(X0),X1),nil),eq(X1,nil)),bfalse),
inference(superposition,[],[f34,f5]) ).
fof(f78,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(drop(s(X0),cons(X1,X2)),nil),bfalse),bfalse),
inference(superposition,[],[f47,f31]) ).
fof(f79,plain,
! [X2,X0] : btrue != eq3(impl(eq(drop(X0,X2),nil),bfalse),bfalse),
inference(forward_demodulation,[],[f78,f6]) ).
fof(f86,plain,
btrue != eq3(impl(eq(nil,nil),bfalse),bfalse),
inference(superposition,[],[f79,f5]) ).
fof(f88,plain,
btrue != eq3(impl(btrue,bfalse),bfalse),
inference(forward_demodulation,[],[f86,f19]) ).
fof(f89,plain,
btrue != eq3(bfalse,bfalse),
inference(forward_demodulation,[],[f88,f1]) ).
fof(f90,plain,
$false,
inference(forward_subsumption_resolution,[],[f89,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:11:33 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.27 % (3695669)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (3695674)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1770600439_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % TRYING [1]
% 0.19/0.27 % TRYING [2]
% 0.19/0.27 % TRYING [3]
% 0.19/0.27 % (3695675)% WARNING: option uhcvi not known.
% 0.19/0.27 % TRYING [4]
% 0.19/0.27 % (3695675)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3819510553:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (3695677)dis+10_1_sil=32000:sp=arity:random_seed=3255515748:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (3695676)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3044445058:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (3695678)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=74599699:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % TRYING [5]
% 0.19/0.27 % (3695678) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3695669-3695678"...
% 0.19/0.27 % (3695675) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3695669-3695675"...
% 0.19/0.27 % (3695677) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3695669-3695677"...
% 0.19/0.27 % (3695676) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3695669-3695676"...
% 0.19/0.27 % (3695678)...printing done.
% 0.19/0.27 % (3695675)...printing done.
% 0.19/0.27 % (3695677)...printing done.
% 0.19/0.27 % (3695676)...printing done.
% 0.19/0.27 % (3695675)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (3695675)------------------------------
% 0.19/0.27 % (3695675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3695675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3695675)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3695675)Termination reason: Refutation
% 0.19/0.27 % (3695675)Time elapsed: 0.004 s
% 0.19/0.27 % (3695675)Peak memory usage: 11 MB
% 0.19/0.27 % (3695675)Instructions burned: 4 (million)
% 0.19/0.27 % (3695669)Success in time 0.041 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------