%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX204-1 : 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 : n006.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 01:46:43 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 14 ( 14 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : x2(z,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f2,axiom,
! [X0,X1] : x2(s(X0),X1) = s(x2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).
fof(f3,axiom,
! [X0] : x22(z,X0) = z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
fof(f4,plain,
! [X0] : z = x22(z,X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : x22(s(X0),X1) = x2(X1,x22(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(f6,axiom,
! [X0] : mul_idem(X0) = eq(x22(X0,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
fof(f11,axiom,
! [X0,X1] : eq(s(X0),s(X1)) = eq(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(f14,axiom,
! [X0] : eq(s(X0),z) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
fof(f15,plain,
! [X0] : bfalse = eq(s(X0),z),
inference(reorient_equations,[],[f14]) ).
fof(f18,axiom,
! [X0] : eq2(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
fof(f19,plain,
! [X0] : btrue = eq2(X0,X0),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
! [X0] : eq2(mul_idem(X0),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f21,plain,
! [X0] : btrue != eq2(mul_idem(X0),bfalse),
inference(reorient_equations,[],[f20]) ).
fof(f22,plain,
! [X0] : btrue != eq2(eq(x22(X0,X0),X0),bfalse),
inference(definition_unfolding,[],[f21,f6]) ).
fof(f28,plain,
! [X0] : btrue != eq2(eq(x2(s(X0),x22(X0,s(X0))),s(X0)),bfalse),
inference(superposition,[],[f22,f5]) ).
fof(f31,plain,
! [X0] : btrue != eq2(eq(s(x2(X0,x22(X0,s(X0)))),s(X0)),bfalse),
inference(superposition,[],[f28,f2]) ).
fof(f39,plain,
! [X0] : btrue != eq2(eq(x2(X0,x22(X0,s(X0))),X0),bfalse),
inference(superposition,[],[f31,f11]) ).
fof(f49,plain,
! [X0] : btrue != eq2(eq(s(x2(X0,x22(s(X0),s(s(X0))))),s(X0)),bfalse),
inference(superposition,[],[f39,f2]) ).
fof(f51,plain,
btrue != eq2(eq(s(x22(s(z),s(s(z)))),s(z)),bfalse),
inference(superposition,[],[f49,f1]) ).
fof(f55,plain,
btrue != eq2(eq(x22(s(z),s(s(z))),z),bfalse),
inference(superposition,[],[f51,f11]) ).
fof(f56,plain,
btrue != eq2(eq(x2(s(s(z)),x22(z,s(s(z)))),z),bfalse),
inference(superposition,[],[f55,f5]) ).
fof(f60,plain,
btrue != eq2(eq(x2(s(s(z)),z),z),bfalse),
inference(superposition,[],[f56,f4]) ).
fof(f62,plain,
btrue != eq2(eq(s(x2(s(z),z)),z),bfalse),
inference(superposition,[],[f60,f2]) ).
fof(f64,plain,
btrue != eq2(bfalse,bfalse),
inference(superposition,[],[f62,f15]) ).
fof(f65,plain,
btrue != btrue,
inference(superposition,[],[f64,f19]) ).
fof(f66,plain,
$false,
inference(trivial_inequality_removal,[],[f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX204-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n006.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:09:38 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.26 % (4039962)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (4039968)% WARNING: option uhcvi not known.
% 0.09/0.26 % (4039968)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3027419607:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (4039972)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1264622058:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (4039973)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=998858483:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (4039967)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=521498015_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % (4039970)dis+10_1_sil=32000:sp=arity:random_seed=3488449580:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (4039971)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1183867298:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (4039969)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1180253101:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % TRYING [1]
% 0.09/0.26 % TRYING [2]
% 0.09/0.26 % TRYING [3]
% 0.09/0.26 % (4039973) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4039962-4039973"...
% 0.09/0.26 % TRYING [4]
% 0.09/0.26 % (4039973)...printing done.
% 0.09/0.26 % (4039973)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (4039973)------------------------------
% 0.09/0.26 % (4039973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (4039973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (4039973)CaDiCaL version: 2.1.3
% 0.09/0.26 % (4039973)Termination reason: Refutation
% 0.09/0.26 % (4039973)Time elapsed: 0.003 s
% 0.09/0.26 % (4039973)Peak memory usage: 11 MB
% 0.09/0.26 % (4039973)Instructions burned: 4 (million)
% 0.09/0.26 % (4039962)Success in time 0.04 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------