%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX222-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:46:13 PM UTC 2026
% Result : Unsatisfiable 3.73s 1.25s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-4 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1] : aux(X0,X1,X2,just(X3)) = eq(X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).
fof(f3,axiom,
notb(btrue) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
fof(f4,plain,
bfalse = notb(btrue),
inference(reorient_equations,[],[f3]) ).
fof(f9,axiom,
! [X0,X1] : index(cons(X0,X1),zero) = just(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
fof(f11,axiom,
! [X0] : andb(btrue,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(f18,axiom,
! [X0] : nf(lam(X0)) = nf(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).
fof(f19,axiom,
! [X0] : nf(var(X0)) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
fof(f20,plain,
! [X0] : btrue = nf(var(X0)),
inference(reorient_equations,[],[f19]) ).
fof(f22,axiom,
! [X2,X3,X0,X1] : tc(X0,lam(X1),arr(X2,X3)) = tc(cons(X2,X0),X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
fof(f29,axiom,
! [X2,X0,X1] : tc(X0,var(X1),X2) = aux(X0,X2,X1,index(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).
fof(f30,axiom,
! [X0] : sat_synth_nf_k(X0) = notb(andb(nf(X0),tc(nil,X0,arr(a,arr(b,b))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_020) ).
fof(f90,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_051) ).
fof(f91,plain,
! [X0] : btrue = eq(X0,X0),
inference(reorient_equations,[],[f90]) ).
fof(f96,axiom,
! [X0] : eq4(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_054) ).
fof(f97,plain,
! [X0] : btrue = eq4(X0,X0),
inference(reorient_equations,[],[f96]) ).
fof(f98,negated_conjecture,
! [X0] : eq4(sat_synth_nf_k(X0),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f99,plain,
! [X0] : btrue != eq4(sat_synth_nf_k(X0),bfalse),
inference(reorient_equations,[],[f98]) ).
fof(f100,plain,
! [X0] : btrue != eq4(notb(andb(nf(X0),tc(nil,X0,arr(a,arr(b,b))))),bfalse),
inference(definition_unfolding,[],[f99,f30]) ).
fof(f105,plain,
! [X0] : btrue != eq4(notb(andb(nf(X0),tc(nil,lam(X0),arr(a,arr(b,b))))),bfalse),
inference(superposition,[],[f100,f18]) ).
fof(f106,plain,
! [X0] : btrue != eq4(notb(andb(nf(X0),tc(cons(a,nil),X0,arr(b,b)))),bfalse),
inference(forward_demodulation,[],[f105,f22]) ).
fof(f108,plain,
! [X0] : btrue != eq4(notb(andb(nf(X0),tc(cons(a,nil),lam(X0),arr(b,b)))),bfalse),
inference(superposition,[],[f106,f18]) ).
fof(f109,plain,
! [X0] : btrue != eq4(notb(andb(nf(X0),tc(cons(b,cons(a,nil)),X0,b))),bfalse),
inference(forward_demodulation,[],[f108,f22]) ).
fof(f111,plain,
! [X0] : btrue != eq4(notb(andb(btrue,tc(cons(b,cons(a,nil)),var(X0),b))),bfalse),
inference(superposition,[],[f109,f20]) ).
fof(f116,plain,
! [X0] : btrue != eq4(notb(tc(cons(b,cons(a,nil)),var(X0),b)),bfalse),
inference(forward_demodulation,[],[f111,f11]) ).
fof(f151,plain,
! [X2,X0,X1] : tc(cons(X0,X1),var(zero),X2) = aux(cons(X0,X1),X2,zero,just(X0)),
inference(superposition,[],[f29,f9]) ).
fof(f153,plain,
! [X2,X0,X1] : tc(cons(X0,X1),var(zero),X2) = eq(X0,X2),
inference(forward_demodulation,[],[f151,f2]) ).
fof(f445,plain,
btrue != eq4(notb(eq(b,b)),bfalse),
inference(superposition,[],[f116,f153]) ).
fof(f448,plain,
btrue != eq4(notb(btrue),bfalse),
inference(forward_demodulation,[],[f445,f91]) ).
fof(f452,plain,
btrue != eq4(bfalse,bfalse),
inference(forward_demodulation,[],[f448,f4]) ).
fof(f455,plain,
$false,
inference(forward_subsumption_resolution,[],[f452,f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX222-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n010.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:13:32 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.73/1.25 % (1999225)Input is clausal, will run a generic CNF schedule.
% 3.73/1.25 % (1999234)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1158980799:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.73/1.25 % (1999231)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1633275706:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.73/1.25 % (1999230)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1112029970:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.73/1.25 % (1999233)lrs+10_1_sil=8000:sp=occurrence:random_seed=4045064586:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.73/1.25 % (1999236)dis-21_1_sil=8000:lcm=predicate:random_seed=4033261143:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.73/1.25 % (1999232)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1153271010:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.73/1.25 % (1999235)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1630623583:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.73/1.25 % (1999236)Refutation not found, incomplete strategy
% 3.73/1.25 % (1999236)------------------------------
% 3.73/1.25 % (1999236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.25 % (1999236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.25 % (1999236)CaDiCaL version: 2.1.3
% 3.73/1.25 % (1999236)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.25 % (1999236)Time elapsed: 0.002 s
% 3.73/1.25 % (1999236)Peak memory usage: 88 MB
% 3.73/1.25 % (1999236)Instructions burned: 2 (million)
% 3.73/1.25 % (1999234)Instruction limit reached!
% 3.73/1.25 % (1999234)------------------------------
% 3.73/1.25 % (1999234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.25 % (1999234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.25 % (1999234)CaDiCaL version: 2.1.3
% 3.73/1.25 % (1999234)Termination reason: Instruction limit
% 3.73/1.25 % (1999234)Termination phase: Saturation
% 3.73/1.25 % (1999234)Time elapsed: 0.039 s
% 3.73/1.25 % (1999234)Peak memory usage: 89 MB
% 3.73/1.25 % (1999234)Instructions burned: 115 (million)
% 3.73/1.25 % (1999233)First to succeed.
% 3.73/1.25 % (1999233)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1999225"
% 3.73/1.25 % (1999235)Instruction limit reached!
% 3.73/1.25 % (1999235)------------------------------
% 3.73/1.25 % (1999235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.25 % (1999235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.25 % (1999235)CaDiCaL version: 2.1.3
% 3.73/1.25 % (1999235)Termination reason: Instruction limit
% 3.73/1.25 % (1999235)Termination phase: Saturation
% 3.73/1.25 % (1999235)Time elapsed: 0.103 s
% 3.73/1.25 % (1999235)Peak memory usage: 89 MB
% 3.73/1.25 % (1999235)Instructions burned: 180 (million)
% 3.73/1.25 % (1999244)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=625246543:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.73/1.25 % (1999244)Refutation not found, incomplete strategy
% 3.73/1.25 % (1999244)------------------------------
% 3.73/1.25 % (1999244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.25 % (1999244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.25 % (1999244)CaDiCaL version: 2.1.3
% 3.73/1.25 % (1999244)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.25 % (1999244)Time elapsed: 0.001 s
% 3.73/1.25 % (1999244)Peak memory usage: 88 MB
% 3.73/1.25 % (1999244)Instructions burned: 2 (million)
% 3.73/1.25 % (1999236)------------------------------
% 3.73/1.25 % (1999236)------------------------------
% 3.73/1.25 % (1999233)Refutation found. Thanks to Tanya!
% 3.73/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.73/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.25 % (1999233)------------------------------
% 3.73/1.25 % (1999233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.25 % (1999233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.25 % (1999233)CaDiCaL version: 2.1.3
% 3.73/1.25 % (1999233)Termination reason: Refutation
% 3.73/1.25 % (1999233)Time elapsed: 0.014 s
% 3.73/1.25 % (1999233)Peak memory usage: 88 MB
% 3.73/1.25 % (1999233)Instructions burned: 21 (million)
% 3.73/1.25 % (1999233)------------------------------
% 3.73/1.25 % (1999233)------------------------------
% 3.73/1.25 % (1999225)Success in time 0.444 s
% 3.73/1.25 % Vampire exiting
%------------------------------------------------------------------------------