%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 01:46:05 PM UTC 2026
% Result : Unsatisfiable 3.71s 1.29s
% Output : Refutation 3.71s
% 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/sandbox2/benchmark/theBenchmark.p',axiom) ).
fof(f4,axiom,
! [X0] : drop(s(X0),nil) = nil,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
fof(f18,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
fof(f23,plain,
! [X0] : btrue = eq3(X0,X0),
inference(reorient_equations,[],[f22]) ).
fof(f28,axiom,
! [X0,X1] : eq(nil,cons(X0,X1)) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
fof(f29,plain,
! [X0,X1] : bfalse = eq(nil,cons(X0,X1)),
inference(reorient_equations,[],[f28]) ).
fof(f32,negated_conjecture,
! [X2,X0,X1] : eq3(prop_drop_inj2(X0,X1,X2),bfalse) != btrue,
file('/export/starexec/sandbox2/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(f51,plain,
! [X0,X1] : btrue != eq3(impl(eq(nil,drop(s(X0),X1)),eq(nil,X1)),bfalse),
inference(superposition,[],[f34,f5]) ).
fof(f64,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(nil,drop(s(X0),cons(X1,X2))),bfalse),bfalse),
inference(superposition,[],[f51,f29]) ).
fof(f68,plain,
! [X2,X0] : btrue != eq3(impl(eq(nil,drop(X0,X2)),bfalse),bfalse),
inference(forward_demodulation,[],[f64,f6]) ).
fof(f77,plain,
btrue != eq3(impl(eq(nil,nil),bfalse),bfalse),
inference(superposition,[],[f68,f5]) ).
fof(f78,plain,
btrue != eq3(impl(btrue,bfalse),bfalse),
inference(forward_demodulation,[],[f77,f19]) ).
fof(f79,plain,
btrue != eq3(bfalse,bfalse),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f80,plain,
$false,
inference(forward_subsumption_resolution,[],[f79,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:07:34 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.71/1.29 % (231515)Input is clausal, will run a generic CNF schedule.
% 3.71/1.29 % (231526)dis-21_1_sil=8000:lcm=predicate:random_seed=108320071: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)
% 3.71/1.29 % (231526)Refutation not found, incomplete strategy
% 3.71/1.29 % (231526)------------------------------
% 3.71/1.29 % (231526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.29 % (231526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.29 % (231526)CaDiCaL version: 2.1.3
% 3.71/1.29 % (231526)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.29 % (231526)Time elapsed: 0.001 s
% 3.71/1.29 % (231526)Peak memory usage: 88 MB
% 3.71/1.29 % (231526)Instructions burned: 1 (million)
% 3.71/1.29 % (231525)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=387169297:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.71/1.29 % (231524)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3127202906:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.71/1.29 % (231520)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=1191105680:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.71/1.29 % (231523)lrs+10_1_sil=8000:sp=occurrence:random_seed=494818849:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.71/1.29 % (231521)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4127808037:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.71/1.29 % (231522)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1253174804:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.71/1.29 % (231523)First to succeed.
% 3.71/1.29 % (231523)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-231515"
% 3.71/1.29 % (231525)Also succeeded, but the first one will report.
% 3.71/1.29 % (231524)Also succeeded, but the first one will report.
% 3.71/1.29 % (231526)------------------------------
% 3.71/1.29 % (231526)------------------------------
% 3.71/1.29 % (231534)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=2421530791:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.71/1.29 % (231534)Refutation not found, incomplete strategy
% 3.71/1.29 % (231534)------------------------------
% 3.71/1.29 % (231534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.29 % (231534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.29 % (231534)CaDiCaL version: 2.1.3
% 3.71/1.29 % (231534)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.29 % (231534)Time elapsed: 0.001 s
% 3.71/1.29 % (231534)Peak memory usage: 87 MB
% 3.71/1.29 % (231534)Instructions burned: 1 (million)
% 3.71/1.29 % (231523)Refutation found. Thanks to Tanya!
% 3.71/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.71/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.71/1.29 % (231523)------------------------------
% 3.71/1.29 % (231523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.29 % (231523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.29 % (231523)CaDiCaL version: 2.1.3
% 3.71/1.29 % (231523)Termination reason: Refutation
% 3.71/1.29 % (231523)Time elapsed: 0.003 s
% 3.71/1.29 % (231523)Peak memory usage: 88 MB
% 3.71/1.29 % (231523)Instructions burned: 3 (million)
% 3.71/1.29 % (231523)------------------------------
% 3.71/1.29 % (231523)------------------------------
% 3.71/1.29 % (231515)Success in time 0.443 s
% 3.71/1.29 % Vampire exiting
%------------------------------------------------------------------------------