%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW250+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:29:56 PM UTC 2026
% Result : ContradictoryAxioms 6.78s 1.75s
% Output : Refutation 6.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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; 0-3 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0] : X0 != hAPP(c_Nat_OSuc,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).
fof(f1198,axiom,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBI__1) ).
fof(f1200,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f1202,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(f2879,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[],[f41]) ).
fof(f4444,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(cnf_transformation,[],[f1198]) ).
fof(f4446,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(cnf_transformation,[],[f1200]) ).
fof(f4448,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(cnf_transformation,[],[f1202]) ).
fof(f4802,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),X7),X8) = hAPP(X6,hAPP(X8,hAPP(X7,X8))),
inference(superposition,[],[f4446,f4448]) ).
fof(f4836,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X7,hAPP(X6,X7)) != hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Nat_OSuc)),X6),X7),
inference(superposition,[],[f2879,f4802]) ).
fof(f4840,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X0,X0) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Nat_OSuc)),c_COMBI(X1)),X0),
inference(superposition,[],[f4836,f4444]) ).
fof(f4865,plain,
$false,
inference(equality_resolution,[],[f4840]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW250+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.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 13:25:57 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 6.78/1.75 % (1579587)Detected formulas, will run a generic FOF schedule.
% 6.78/1.75 % (1579593)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=3225975799:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.78/1.75 % (1579596)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4002850732:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.78/1.75 % (1579594)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=3943967377:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.78/1.75 % (1579595)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3252892217:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.78/1.75 % (1579592)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=3035994340:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.78/1.75 % (1579598)dis-21_1_sil=8000:lcm=predicate:random_seed=3447255001: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)
% 6.78/1.75 % (1579597)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2878997029:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.78/1.75 % (1579598)Instruction limit reached!
% 6.78/1.75 % (1579598)------------------------------
% 6.78/1.75 % (1579598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579598)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579598)Termination reason: Instruction limit
% 6.78/1.75 % (1579598)Termination phase: Saturation
% 6.78/1.75 % (1579598)Time elapsed: 0.058 s
% 6.78/1.75 % (1579598)Peak memory usage: 90 MB
% 6.78/1.75 % (1579598)Instructions burned: 129 (million)
% 6.78/1.75 % (1579596)Instruction limit reached!
% 6.78/1.75 % (1579596)------------------------------
% 6.78/1.75 % (1579596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579596)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579596)Termination reason: Instruction limit
% 6.78/1.75 % (1579596)Termination phase: Saturation
% 6.78/1.75 % (1579596)Time elapsed: 0.063 s
% 6.78/1.75 % (1579596)Peak memory usage: 89 MB
% 6.78/1.75 % (1579596)Instructions burned: 119 (million)
% 6.78/1.75 % (1579595)Instruction limit reached!
% 6.78/1.75 % (1579595)------------------------------
% 6.78/1.75 % (1579595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579595)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579595)Termination reason: Instruction limit
% 6.78/1.75 % (1579595)Termination phase: Saturation
% 6.78/1.75 % (1579595)Time elapsed: 0.063 s
% 6.78/1.75 % (1579595)Peak memory usage: 90 MB
% 6.78/1.75 % (1579595)Instructions burned: 109 (million)
% 6.78/1.75 % (1579597)Instruction limit reached!
% 6.78/1.75 % (1579597)------------------------------
% 6.78/1.75 % (1579597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579597)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579597)Termination reason: Instruction limit
% 6.78/1.75 % (1579597)Termination phase: Saturation
% 6.78/1.75 % (1579597)Time elapsed: 0.067 s
% 6.78/1.75 % (1579597)Peak memory usage: 90 MB
% 6.78/1.75 % (1579597)Instructions burned: 140 (million)
% 6.78/1.75 % (1579606)lrs+10_1_sil=8000:sp=occurrence:random_seed=2614941994:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.78/1.75 % (1579608)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2206701840:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.78/1.75 % (1579609)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1704844290:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.78/1.75 % (1579607)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2971811157:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.78/1.75 % (1579607)Instruction limit reached!
% 6.78/1.75 % (1579607)------------------------------
% 6.78/1.75 % (1579607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579607)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579607)Termination reason: Instruction limit
% 6.78/1.75 % (1579607)Termination phase: Saturation
% 6.78/1.75 % (1579607)Time elapsed: 0.079 s
% 6.78/1.75 % (1579607)Peak memory usage: 90 MB
% 6.78/1.75 % (1579607)Instructions burned: 157 (million)
% 6.78/1.75 % (1579609)Instruction limit reached!
% 6.78/1.75 % (1579609)------------------------------
% 6.78/1.75 % (1579609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579609)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579609)Termination reason: Instruction limit
% 6.78/1.75 % (1579609)Termination phase: Saturation
% 6.78/1.75 % (1579609)Time elapsed: 0.132 s
% 6.78/1.75 % (1579609)Peak memory usage: 91 MB
% 6.78/1.75 % (1579609)Instructions burned: 249 (million)
% 6.78/1.75 % (1579606)Instruction limit reached!
% 6.78/1.75 % (1579606)------------------------------
% 6.78/1.75 % (1579606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579606)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579606)Termination reason: Instruction limit
% 6.78/1.75 % (1579606)Termination phase: Saturation
% 6.78/1.75 % (1579606)Time elapsed: 0.172 s
% 6.78/1.75 % (1579606)Peak memory usage: 92 MB
% 6.78/1.75 % (1579606)Instructions burned: 285 (million)
% 6.78/1.75 % (1579608)Instruction limit reached!
% 6.78/1.75 % (1579608)------------------------------
% 6.78/1.75 % (1579608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579608)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579608)Termination reason: Instruction limit
% 6.78/1.75 % (1579608)Termination phase: Saturation
% 6.78/1.75 % (1579608)Time elapsed: 0.197 s
% 6.78/1.75 % (1579608)Peak memory usage: 92 MB
% 6.78/1.75 % (1579608)Instructions burned: 325 (million)
% 6.78/1.75 % (1579614)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=582036771:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.78/1.75 % (1579615)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4176827771:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.78/1.75 % (1579616)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1251205312:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.78/1.75 % (1579593)First to succeed.
% 6.78/1.75 % (1579593)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1579587"
% 6.78/1.75 % (1579616)Instruction limit reached!
% 6.78/1.75 % (1579616)------------------------------
% 6.78/1.75 % (1579616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579616)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579616)Termination reason: Instruction limit
% 6.78/1.75 % (1579616)Termination phase: Saturation
% 6.78/1.75 % (1579616)Time elapsed: 0.054 s
% 6.78/1.75 % (1579616)Peak memory usage: 90 MB
% 6.78/1.75 % (1579616)Instructions burned: 113 (million)
% 6.78/1.75 % (1579617)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2580791289:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.78/1.75 % (1579614)Instruction limit reached!
% 6.78/1.75 % (1579614)------------------------------
% 6.78/1.75 % (1579614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579614)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579614)Termination reason: Instruction limit
% 6.78/1.75 % (1579614)Termination phase: Saturation
% 6.78/1.75 % (1579614)Time elapsed: 0.166 s
% 6.78/1.75 % (1579614)Peak memory usage: 92 MB
% 6.78/1.75 % (1579614)Instructions burned: 296 (million)
% 6.78/1.75 % (1579617)Instruction limit reached!
% 6.78/1.75 % (1579617)------------------------------
% 6.78/1.75 % (1579617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579617)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579617)Termination reason: Instruction limit
% 6.78/1.75 % (1579617)Termination phase: Saturation
% 6.78/1.75 % (1579617)Time elapsed: 0.060 s
% 6.78/1.75 % (1579617)Peak memory usage: 90 MB
% 6.78/1.75 % (1579617)Instructions burned: 127 (million)
% 6.78/1.75 % (1579593)Refutation found. Thanks to Tanya!
% 6.78/1.75 % SZS status ContradictoryAxioms for theBenchmark
% 6.78/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 6.78/1.75 % (1579593)------------------------------
% 6.78/1.75 % (1579593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.75 % (1579593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.75 % (1579593)CaDiCaL version: 2.1.3
% 6.78/1.75 % (1579593)Termination reason: Refutation
% 6.78/1.75 % (1579593)Time elapsed: 0.564 s
% 6.78/1.75 % (1579593)Peak memory usage: 143 MB
% 6.78/1.75 % (1579593)Instructions burned: 1710 (million)
% 6.78/1.75 % (1579593)------------------------------
% 6.78/1.75 % (1579593)------------------------------
% 6.78/1.75 % (1579587)Success in time 0.934 s
% 6.78/1.75 % Vampire exiting
%------------------------------------------------------------------------------