%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX204+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 : n002.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 01:46:09 PM UTC 2026
% Result : Theorem 0.20s 1.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : proj1S(s(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_001) ).
fof(f2,axiom,
! [X0] : z != s(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_002) ).
fof(f3,axiom,
! [X0] : x2(z,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
fof(f4,axiom,
! [X0,X1] : x2(s(X1),X0) = s(x2(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_004) ).
fof(f5,axiom,
! [X0] : x22(z,X0) = z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
fof(f6,axiom,
! [X0,X1] : x22(s(X1),X0) = x2(X0,x22(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).
fof(f7,conjecture,
? [X0] : x22(X0,X0) != X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_007) ).
fof(f8,negated_conjecture,
~ ? [X0] : x22(X0,X0) != X0,
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0] : x22(X0,X0) = X0,
inference(ennf_transformation,[],[f8]) ).
fof(f10,plain,
! [X0] : proj1S(s(X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0] : s(X0) != z,
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] : x2(z,X0) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : x2(s(X1),X0) = s(x2(X1,X0)),
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
! [X0] : z = x22(z,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X0,X1] : x22(s(X1),X0) = x2(X0,x22(X1,X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f16,plain,
! [X0] : x22(X0,X0) = X0,
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
! [X0] : x22(s(z),X0) = x2(X0,z),
inference(superposition,[],[f15,f14]) ).
fof(f20,plain,
! [X0,X1] : s(x2(X0,x22(X1,s(X0)))) = x22(s(X1),s(X0)),
inference(superposition,[],[f15,f13]) ).
fof(f88,plain,
! [X0,X1] : x2(X1,x22(X0,s(X1))) = proj1S(x22(s(X0),s(X1))),
inference(superposition,[],[f10,f20]) ).
fof(f236,plain,
! [X0] : proj1S(s(X0)) = x2(X0,x22(X0,s(X0))),
inference(superposition,[],[f88,f16]) ).
fof(f240,plain,
! [X0] : x2(X0,x22(X0,s(X0))) = X0,
inference(forward_demodulation,[],[f236,f10]) ).
fof(f259,plain,
s(z) = x2(s(z),x2(s(s(z)),z)),
inference(superposition,[],[f240,f18]) ).
fof(f271,plain,
s(z) = s(x2(z,x2(s(s(z)),z))),
inference(forward_demodulation,[],[f259,f13]) ).
fof(f272,plain,
s(z) = s(x2(s(s(z)),z)),
inference(forward_demodulation,[],[f271,f12]) ).
fof(f273,plain,
s(z) = s(s(x2(s(z),z))),
inference(forward_demodulation,[],[f272,f13]) ).
fof(f274,plain,
s(z) = s(s(s(x2(z,z)))),
inference(forward_demodulation,[],[f273,f13]) ).
fof(f275,plain,
s(z) = s(s(s(z))),
inference(forward_demodulation,[],[f274,f12]) ).
fof(f312,plain,
s(s(z)) = proj1S(s(z)),
inference(superposition,[],[f10,f275]) ).
fof(f340,plain,
z = s(s(z)),
inference(forward_demodulation,[],[f312,f10]) ).
fof(f354,plain,
$false,
inference(forward_subsumption_resolution,[],[f340,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX204+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n002.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:12:35 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 0.20/1.40 % (431735)Detected formulas, will run a generic FOF schedule.
% 0.20/1.40 % (431857)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1831392770:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.20/1.40 % (431857)Instruction limit reached!
% 0.20/1.40 % (431857)------------------------------
% 0.20/1.40 % (431857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.40 % (431857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.40 % (431857)CaDiCaL version: 2.1.3
% 0.20/1.40 % (431857)Termination reason: Instruction limit
% 0.20/1.40 % (431857)Termination phase: Saturation
% 0.20/1.40 % (431857)Time elapsed: 0.035 s
% 0.20/1.40 % (431857)Peak memory usage: 88 MB
% 0.20/1.40 % (431857)Instructions burned: 120 (million)
% 0.20/1.40 % (431853)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=228501511:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.20/1.40 % (431856)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3317724944:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.20/1.40 % (431858)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3721744140:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.20/1.40 % (431854)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=3916015255:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.20/1.40 % (431858)First to succeed.
% 0.20/1.40 % (431858)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-431735"
% 0.20/1.40 % (431855)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=3950207209:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.20/1.40 % (431856)Instruction limit reached!
% 0.20/1.40 % (431856)------------------------------
% 0.20/1.40 % (431856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.40 % (431856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.40 % (431856)CaDiCaL version: 2.1.3
% 0.20/1.40 % (431856)Termination reason: Instruction limit
% 0.20/1.40 % (431856)Termination phase: Saturation
% 0.20/1.40 % (431856)Time elapsed: 0.057 s
% 0.20/1.40 % (431856)Peak memory usage: 87 MB
% 0.20/1.40 % (431856)Instructions burned: 110 (million)
% 0.20/1.40 % (431859)dis-21_1_sil=8000:lcm=predicate:random_seed=797248953: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)
% 0.20/1.40 % (431859)Refutation not found, incomplete strategy
% 0.20/1.40 % (431859)------------------------------
% 0.20/1.40 % (431859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.40 % (431859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.40 % (431859)CaDiCaL version: 2.1.3
% 0.20/1.40 % (431859)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.40 % (431859)Time elapsed: 0.001 s
% 0.20/1.40 % (431859)Peak memory usage: 88 MB
% 0.20/1.40 % (431861)lrs+10_1_sil=8000:sp=occurrence:random_seed=2391194273:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.20/1.40 % (431861)Also succeeded, but the first one will report.
% 0.20/1.40 % (431867)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3074669350:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 0.20/1.40 % (431867)Also succeeded, but the first one will report.
% 0.20/1.40 % (431858)Refutation found. Thanks to Tanya!
% 0.20/1.40 % SZS status Theorem for theBenchmark
% 0.20/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.41 % (431858)------------------------------
% 0.20/1.41 % (431858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.41 % (431858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.41 % (431858)CaDiCaL version: 2.1.3
% 0.20/1.41 % (431858)Termination reason: Refutation
% 0.20/1.41 % (431858)Time elapsed: 0.010 s
% 0.20/1.41 % (431858)Peak memory usage: 89 MB
% 0.20/1.41 % (431858)Instructions burned: 14 (million)
% 0.20/1.41 % (431858)------------------------------
% 0.20/1.41 % (431858)------------------------------
% 0.20/1.41 % (431735)Success in time 0.488 s
% 0.20/1.41 % Vampire exiting
%------------------------------------------------------------------------------