%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW247+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 13.36s 2.88s
% Output : Refutation 13.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f336,axiom,
! [X0] : X0 != hAPP(c_Nat_OSuc,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).
fof(f1200,axiom,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBI__1) ).
fof(f1202,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/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f1204,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/sandbox2/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(f3213,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[],[f336]) ).
fof(f4391,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(cnf_transformation,[],[f1200]) ).
fof(f4393,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,[],[f1202]) ).
fof(f4395,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,[],[f1204]) ).
fof(f4754,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(X0,hAPP(X1,hAPP(X2,X1))) = hAPP(hAPP(hAPP(c_COMBS(X3,X4,X5),hAPP(c_COMBB(X6,X7,X8),X0)),X2),X1),
inference(superposition,[],[f4395,f4393]) ).
fof(f4763,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X3,X4,X5),hAPP(c_COMBB(X6,X7,X8),X1)),c_COMBI(X2)),X0) = hAPP(X1,hAPP(X0,X0)),
inference(superposition,[],[f4754,f4391]) ).
fof(f4796,plain,
$false,
inference(unit_resulting_resolution,[],[f4763,f3213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW247+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n026.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 13:26:57 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 10.14/2.63 % (3846857)Detected formulas, will run a generic FOF schedule.
% 10.14/2.63 % (3846887)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=3657518495:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 10.14/2.63 % (3846888)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=2621065179:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 10.14/2.63 % (3846886)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=2643928752:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 10.14/2.63 % (3846892)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3048323777:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 10.14/2.63 % (3846890)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4188289365:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 10.14/2.63 % (3846889)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2739689001:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 10.14/2.63 % (3846893)dis-21_1_sil=8000:lcm=predicate:random_seed=668986853:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 10.14/2.63 % (3846889)Refutation not found, incomplete strategy
% 10.14/2.63 % (3846889)------------------------------
% 10.14/2.63 % (3846889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.63 % (3846889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.63 % (3846889)CaDiCaL version: 2.1.3
% 10.14/2.63 % (3846889)Termination reason: Refutation not found, incomplete strategy
% 10.14/2.63 % (3846889)Time elapsed: 0.010 s
% 10.14/2.63 % (3846889)Peak memory usage: 89 MB
% 10.14/2.63 % (3846889)Instructions burned: 9 (million)
% 10.14/2.63 % (3846892)Instruction limit reached!
% 10.14/2.63 % (3846892)------------------------------
% 10.14/2.63 % (3846892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.63 % (3846892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.63 % (3846892)CaDiCaL version: 2.1.3
% 10.14/2.63 % (3846892)Termination reason: Instruction limit
% 10.14/2.63 % (3846892)Termination phase: Saturation
% 10.14/2.63 % (3846892)Time elapsed: 0.091 s
% 10.14/2.63 % (3846892)Peak memory usage: 90 MB
% 10.14/2.63 % (3846892)Instructions burned: 139 (million)
% 10.14/2.63 % (3846893)Instruction limit reached!
% 10.14/2.63 % (3846893)------------------------------
% 10.14/2.63 % (3846893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.63 % (3846893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.63 % (3846893)CaDiCaL version: 2.1.3
% 10.14/2.63 % (3846893)Termination reason: Instruction limit
% 10.14/2.63 % (3846893)Termination phase: Saturation
% 10.14/2.63 % (3846893)Time elapsed: 0.105 s
% 10.14/2.63 % (3846893)Peak memory usage: 90 MB
% 10.14/2.63 % (3846893)Instructions burned: 129 (million)
% 10.14/2.63 % (3846890)Instruction limit reached!
% 10.14/2.63 % (3846890)------------------------------
% 10.14/2.63 % (3846890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.63 % (3846890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.63 % (3846890)CaDiCaL version: 2.1.3
% 10.14/2.63 % (3846890)Termination reason: Instruction limit
% 10.14/2.63 % (3846890)Termination phase: Saturation
% 10.14/2.63 % (3846890)Time elapsed: 0.111 s
% 10.14/2.63 % (3846890)Peak memory usage: 89 MB
% 10.14/2.63 % (3846890)Instructions burned: 119 (million)
% 10.14/2.63 % (3846906)lrs+10_1_sil=8000:sp=occurrence:random_seed=2810394618:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 10.14/2.63 % (3846908)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2347058733:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.14/2.63 % (3846909)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2919293990:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.14/2.63 % (3846889)------------------------------
% 10.14/2.63 % (3846889)------------------------------
% 10.14/2.63 % (3846908)Instruction limit reached!
% 10.14/2.63 % (3846908)------------------------------
% 10.14/2.63 % (3846908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.88 % (3846908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.88 % (3846908)CaDiCaL version: 2.1.3
% 13.36/2.88 % (3846908)Termination reason: Instruction limit
% 13.36/2.88 % (3846908)Termination phase: Saturation
% 13.36/2.88 % (3846908)Time elapsed: 0.121 s
% 13.36/2.88 % (3846908)Peak memory usage: 94 MB
% 13.36/2.88 % (3846908)Instructions burned: 158 (million)
% 13.36/2.88 % (3846906)Instruction limit reached!
% 13.36/2.88 % (3846906)------------------------------
% 13.36/2.88 % (3846906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.88 % (3846906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.88 % (3846906)CaDiCaL version: 2.1.3
% 13.36/2.88 % (3846906)Termination reason: Instruction limit
% 13.36/2.88 % (3846906)Termination phase: Saturation
% 13.36/2.88 % (3846906)Time elapsed: 0.295 s
% 13.36/2.88 % (3846906)Peak memory usage: 92 MB
% 13.36/2.88 % (3846906)Instructions burned: 285 (million)
% 13.36/2.88 % (3846919)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=619020630:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 13.36/2.88 % (3846921)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3224328933:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 13.36/2.88 % (3846919)Instruction limit reached!
% 13.36/2.88 % (3846919)------------------------------
% 13.36/2.88 % (3846919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.88 % (3846919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.88 % (3846919)CaDiCaL version: 2.1.3
% 13.36/2.88 % (3846919)Termination reason: Instruction limit
% 13.36/2.88 % (3846919)Termination phase: Saturation
% 13.36/2.88 % (3846919)Time elapsed: 0.078 s
% 13.36/2.88 % (3846919)Peak memory usage: 92 MB
% 13.36/2.88 % (3846919)Instructions burned: 249 (million)
% 13.36/2.88 % (3846909)Instruction limit reached!
% 13.36/2.88 % (3846909)------------------------------
% 13.36/2.88 % (3846909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.88 % (3846909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.88 % (3846909)CaDiCaL version: 2.1.3
% 13.36/2.88 % (3846909)Termination reason: Instruction limit
% 13.36/2.88 % (3846909)Termination phase: Saturation
% 13.36/2.88 % (3846909)Time elapsed: 0.330 s
% 13.36/2.88 % (3846909)Peak memory usage: 92 MB
% 13.36/2.88 % (3846909)Instructions burned: 325 (million)
% 13.36/2.88 % (3846921)Refutation not found, incomplete strategy
% 13.36/2.88 % (3846921)------------------------------
% 13.36/2.88 % (3846921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.88 % (3846921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.88 % (3846921)CaDiCaL version: 2.1.3
% 13.36/2.88 % (3846921)Termination reason: Refutation not found, incomplete strategy
% 13.36/2.88 % (3846921)Time elapsed: 0.091 s
% 13.36/2.88 % (3846921)Peak memory usage: 91 MB
% 13.36/2.88 % (3846921)Instructions burned: 98 (million)
% 13.36/2.88 % (3846927)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2913094609:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 13.36/2.88 % (3846925)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=312125821:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 13.36/2.88 % (3846927)Instruction limit reached!
% 13.36/2.88 % (3846927)------------------------------
% 13.36/2.88 % (3846927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.88 % (3846927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.88 % (3846927)CaDiCaL version: 2.1.3
% 13.36/2.88 % (3846927)Termination reason: Instruction limit
% 13.36/2.88 % (3846927)Termination phase: Saturation
% 13.36/2.88 % (3846927)Time elapsed: 0.050 s
% 13.36/2.88 % (3846927)Peak memory usage: 90 MB
% 13.36/2.88 % (3846927)Instructions burned: 115 (million)
% 13.36/2.88 % (3846928)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1201080075:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 13.36/2.88 % (3846933)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2537849664:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 13.36/2.88 % (3846928)Instruction limit reached!
% 13.36/2.88 % (3846928)------------------------------
% 13.36/2.88 % (3846928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.88 % (3846928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.88 % (3846928)CaDiCaL version: 2.1.3
% 13.36/2.88 % (3846928)Termination reason: Instruction limit
% 13.36/2.88 % (3846928)Termination phase: Saturation
% 13.36/2.88 % (3846928)Time elapsed: 0.105 s
% 13.36/2.88 % (3846928)Peak memory usage: 90 MB
% 13.36/2.88 % (3846928)Instructions burned: 127 (million)
% 13.36/2.88 % (3846933)Instruction limit reached!
% 13.36/2.88 % (3846933)------------------------------
% 13.36/2.88 % (3846933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.88 % (3846933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.88 % (3846933)CaDiCaL version: 2.1.3
% 13.36/2.88 % (3846933)Termination reason: Instruction limit
% 13.36/2.88 % (3846933)Termination phase: Saturation
% 13.36/2.88 % (3846933)Time elapsed: 0.055 s
% 13.36/2.88 % (3846933)Peak memory usage: 90 MB
% 13.36/2.88 % (3846933)Instructions burned: 116 (million)
% 13.36/2.88 % (3846921)------------------------------
% 13.36/2.88 % (3846921)------------------------------
% 13.36/2.88 % (3846887)First to succeed.
% 13.36/2.88 % (3846887)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3846857"
% 13.36/2.88 % (3846938)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2558599634:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 13.36/2.88 % (3846937)lrs+10_1_sil=8000:sp=occurrence:random_seed=4030461278:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 13.36/2.88 % (3846939)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2022239394:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 13.36/2.88 % (3846938)Instruction limit reached!
% 13.36/2.88 % (3846938)------------------------------
% 13.36/2.88 % (3846938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.88 % (3846938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.88 % (3846938)CaDiCaL version: 2.1.3
% 13.36/2.88 % (3846938)Termination reason: Instruction limit
% 13.36/2.88 % (3846938)Termination phase: Saturation
% 13.36/2.88 % (3846938)Time elapsed: 0.160 s
% 13.36/2.88 % (3846938)Peak memory usage: 95 MB
% 13.36/2.88 % (3846938)Instructions burned: 439 (million)
% 13.36/2.88 % (3846945)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=577960366:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 13.36/2.88 % (3846887)Refutation found. Thanks to Tanya!
% 13.36/2.88 % SZS status ContradictoryAxioms for theBenchmark
% 13.36/2.88 % SZS output start Proof for theBenchmark
% See solution above
% 13.36/2.88 % (3846887)------------------------------
% 13.36/2.88 % (3846887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.88 % (3846887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.88 % (3846887)CaDiCaL version: 2.1.3
% 13.36/2.88 % (3846887)Termination reason: Refutation
% 13.36/2.88 % (3846887)Time elapsed: 1.211 s
% 13.36/2.88 % (3846887)Peak memory usage: 146 MB
% 13.36/2.88 % (3846887)Instructions burned: 1674 (million)
% 13.36/2.88 % (3846887)------------------------------
% 13.36/2.88 % (3846887)------------------------------
% 13.36/2.88 % (3846857)Success in time 1.891 s
% 13.36/2.88 % Vampire exiting
%------------------------------------------------------------------------------