%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX190+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 : n017.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 01:46:06 PM UTC 2026
% Result : Theorem 0.21s 1.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 33 ( 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2] : n(X0) != x(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
fof(f39,axiom,
! [X0] : d(n(X0)) = n(z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_039) ).
fof(f40,axiom,
! [X0,X1] : d(x(X0,X1)) = x(d(X0),d(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_040) ).
fof(f50,axiom,
! [X0] : opt(x(n(z),X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_050) ).
fof(f54,conjecture,
? [X0] : opt(d(X0)) != opt(d(opt(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_054) ).
fof(f55,negated_conjecture,
~ ? [X0] : opt(d(X0)) != opt(d(opt(X0))),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f56,plain,
! [X0] : opt(d(X0)) = opt(d(opt(X0))),
inference(ennf_transformation,[],[f55]) ).
fof(f57,plain,
! [X0] : opt(d(X0)) = opt(d(opt(X0))),
inference(cnf_transformation,[],[f56]) ).
fof(f59,plain,
! [X0] : opt(x(n(z),X0)) = X0,
inference(cnf_transformation,[],[f50]) ).
fof(f61,plain,
! [X0,X1] : d(x(X0,X1)) = x(d(X0),d(X1)),
inference(cnf_transformation,[],[f40]) ).
fof(f62,plain,
! [X0] : n(z) = d(n(X0)),
inference(cnf_transformation,[],[f39]) ).
fof(f66,plain,
! [X2,X0,X1] : n(X0) != x(X1,X2),
inference(cnf_transformation,[],[f8]) ).
fof(f67,plain,
! [X0] : opt(d(d(opt(X0)))) = opt(d(opt(d(X0)))),
inference(superposition,[],[f57,f57]) ).
fof(f68,plain,
! [X0] : opt(d(d(opt(X0)))) = opt(d(d(X0))),
inference(forward_demodulation,[],[f67,f57]) ).
fof(f101,plain,
! [X0] : opt(d(d(X0))) = opt(d(d(x(n(z),X0)))),
inference(superposition,[],[f68,f59]) ).
fof(f102,plain,
! [X0] : opt(d(X0)) = opt(d(x(n(z),X0))),
inference(superposition,[],[f57,f59]) ).
fof(f151,plain,
! [X0,X1] : d(x(n(X0),X1)) = x(n(z),d(X1)),
inference(superposition,[],[f61,f62]) ).
fof(f152,plain,
! [X0,X1] : d(x(X0,n(X1))) = x(d(X0),n(z)),
inference(superposition,[],[f61,f62]) ).
fof(f218,plain,
! [X0] : opt(d(X0)) = opt(x(n(z),d(X0))),
inference(superposition,[],[f102,f151]) ).
fof(f225,plain,
! [X0] : d(X0) = opt(d(X0)),
inference(forward_demodulation,[],[f218,f59]) ).
fof(f268,plain,
! [X0] : opt(d(d(n(X0)))) = opt(d(x(d(n(z)),n(z)))),
inference(superposition,[],[f101,f152]) ).
fof(f280,plain,
! [X0] : opt(d(d(n(X0)))) = d(x(d(n(z)),n(z))),
inference(forward_demodulation,[],[f268,f225]) ).
fof(f283,plain,
! [X0] : opt(d(d(n(X0)))) = x(d(d(n(z))),n(z)),
inference(forward_demodulation,[],[f280,f152]) ).
fof(f285,plain,
! [X0] : x(d(n(z)),n(z)) = opt(d(d(n(X0)))),
inference(forward_demodulation,[],[f283,f62]) ).
fof(f286,plain,
! [X0] : x(d(n(z)),n(z)) = d(d(n(X0))),
inference(forward_demodulation,[],[f285,f225]) ).
fof(f287,plain,
d(n(z)) = x(d(n(z)),n(z)),
inference(forward_demodulation,[],[f286,f62]) ).
fof(f288,plain,
n(z) = x(n(z),n(z)),
inference(forward_demodulation,[],[f287,f62]) ).
fof(f289,plain,
$false,
inference(forward_subsumption_resolution,[],[f288,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX190+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:02:06 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.21/1.31 % (3620659)Detected formulas, will run a generic FOF schedule.
% 0.21/1.31 % (3620667)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3569033702:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.21/1.31 % (3620667)Instruction limit reached!
% 0.21/1.31 % (3620667)------------------------------
% 0.21/1.31 % (3620667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.31 % (3620667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.31 % (3620667)CaDiCaL version: 2.1.3
% 0.21/1.31 % (3620667)Termination reason: Instruction limit
% 0.21/1.31 % (3620667)Termination phase: Saturation
% 0.21/1.31 % (3620667)Time elapsed: 0.031 s
% 0.21/1.31 % (3620667)Peak memory usage: 89 MB
% 0.21/1.31 % (3620667)Instructions burned: 111 (million)
% 0.21/1.31 % (3620664)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=2565158055:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.21/1.31 % (3620668)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1226746396:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.21/1.31 % (3620670)dis-21_1_sil=8000:lcm=predicate:random_seed=4112454792:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.21/1.31 % (3620665)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=375111722:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.21/1.31 % (3620666)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=56979315:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.21/1.31 % (3620669)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1252451406:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.21/1.31 % (3620670)Refutation not found, incomplete strategy
% 0.21/1.31 % (3620670)------------------------------
% 0.21/1.31 % (3620670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.31 % (3620670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.31 % (3620670)CaDiCaL version: 2.1.3
% 0.21/1.31 % (3620670)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.31 % (3620670)Time elapsed: 0.003 s
% 0.21/1.31 % (3620670)Peak memory usage: 88 MB
% 0.21/1.31 % (3620670)Instructions burned: 4 (million)
% 0.21/1.31 % (3620668)First to succeed.
% 0.21/1.31 % (3620668)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3620659"
% 0.21/1.31 % (3620669)Also succeeded, but the first one will report.
% 0.21/1.31 % (3620672)lrs+10_1_sil=8000:sp=occurrence:random_seed=2372433456:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.21/1.31 % (3620672)Also succeeded, but the first one will report.
% 0.21/1.31 % (3620670)------------------------------
% 0.21/1.31 % (3620670)------------------------------
% 0.21/1.31 % (3620668)Refutation found. Thanks to Tanya!
% 0.21/1.31 % SZS status Theorem for theBenchmark
% 0.21/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.31 % (3620668)------------------------------
% 0.21/1.31 % (3620668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.31 % (3620668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.31 % (3620668)CaDiCaL version: 2.1.3
% 0.21/1.31 % (3620668)Termination reason: Refutation
% 0.21/1.31 % (3620668)Time elapsed: 0.007 s
% 0.21/1.31 % (3620668)Peak memory usage: 88 MB
% 0.21/1.31 % (3620668)Instructions burned: 11 (million)
% 0.21/1.31 % (3620668)------------------------------
% 0.21/1.31 % (3620668)------------------------------
% 0.21/1.31 % (3620659)Success in time 0.439 s
% 0.21/1.31 % Vampire exiting
%------------------------------------------------------------------------------