%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV688-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:19:17 PM UTC 2026
% Result : Unsatisfiable 11.77s 2.77s
% Output : Refutation 11.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-5 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f362,axiom,
! [X0] : hAPP(c_Suc,X0) != X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
fof(f432,axiom,
! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_plus__nat_Oadd__0_0) ).
fof(f1660,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),hAPP(X1,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).
fof(f1662,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBB(X0,X1,X2,X3,X4),X5) = hAPP(X0,hAPP(X1,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
fof(f1681,plain,
! [X2,X3,X0,X1,X4] : hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3,X4),X0) = hAPP(X0,hAPP(X1,X0)),
inference(superposition,[],[f1660,f432]) ).
fof(f1685,plain,
! [X2,X3,X0,X1] : hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3),X0) = hAPP(X0,X0),
inference(superposition,[],[f1681,f432]) ).
fof(f1711,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0,X1,X2),c_COMBB(X3,X4,X5,X6,X7)) = hAPP(X3,hAPP(X4,c_COMBB(X3,X4,X5,X6,X7))),
inference(superposition,[],[f1662,f1685]) ).
fof(f1712,plain,
$false,
inference(unit_resulting_resolution,[],[f1711,f362]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV688-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 % Computer : n006.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Mon Sep 28 12:15:10 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.28 Running first-order theorem proving
% 0.26/0.28 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
% 11.77/2.77 % (3925027)Input is clausal, will run a generic CNF schedule.
% 11.77/2.77 % (3925035)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1828919308:i=132376:av=off_2998 on theBenchmark for (2998ds/132376Mi)
% 11.77/2.77 % (3925038)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1034249339:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2998 on theBenchmark for (2998ds/114Mi)
% 11.77/2.77 % (3925037)lrs+10_1_sil=8000:sp=occurrence:random_seed=3106992644:i=107:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/107Mi)
% 11.77/2.77 % (3925036)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4150274536:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2998 on theBenchmark for (2998ds/137899Mi)
% 11.77/2.77 % (3925034)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=472554925:i=140167_2998 on theBenchmark for (2998ds/140167Mi)
% 11.77/2.77 % (3925040)dis-21_1_sil=8000:lcm=predicate:random_seed=3787835779:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/117Mi)
% 11.77/2.77 % (3925039)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1476501937:s2a=on:i=180:gtg=position_2998 on theBenchmark for (2998ds/180Mi)
% 11.77/2.77 % (3925038)Instruction limit reached!
% 11.77/2.77 % (3925038)------------------------------
% 11.77/2.77 % (3925038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925038)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925038)Termination reason: Instruction limit
% 11.77/2.77 % (3925038)Termination phase: Saturation
% 11.77/2.77 % (3925038)Time elapsed: 0.108 s
% 11.77/2.77 % (3925038)Peak memory usage: 89 MB
% 11.77/2.77 % (3925038)Instructions burned: 114 (million)
% 11.77/2.77 % (3925037)Instruction limit reached!
% 11.77/2.77 % (3925037)------------------------------
% 11.77/2.77 % (3925037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925037)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925037)Termination reason: Instruction limit
% 11.77/2.77 % (3925037)Termination phase: Saturation
% 11.77/2.77 % (3925037)Time elapsed: 0.120 s
% 11.77/2.77 % (3925037)Peak memory usage: 90 MB
% 11.77/2.77 % (3925037)Instructions burned: 107 (million)
% 11.77/2.77 % (3925040)Instruction limit reached!
% 11.77/2.77 % (3925040)------------------------------
% 11.77/2.77 % (3925040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925040)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925040)Termination reason: Instruction limit
% 11.77/2.77 % (3925040)Termination phase: Saturation
% 11.77/2.77 % (3925040)Time elapsed: 0.104 s
% 11.77/2.77 % (3925040)Peak memory usage: 90 MB
% 11.77/2.77 % (3925040)Instructions burned: 117 (million)
% 11.77/2.77 % (3925039)Instruction limit reached!
% 11.77/2.77 % (3925039)------------------------------
% 11.77/2.77 % (3925039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925039)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925039)Termination reason: Instruction limit
% 11.77/2.77 % (3925039)Termination phase: Saturation
% 11.77/2.77 % (3925039)Time elapsed: 0.177 s
% 11.77/2.77 % (3925039)Peak memory usage: 90 MB
% 11.77/2.77 % (3925039)Instructions burned: 180 (million)
% 11.77/2.77 % (3925048)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=2481352057:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 11.77/2.77 % (3925049)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1301168173:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 11.77/2.77 % (3925050)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=147647324:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 11.77/2.77 % (3925051)lrs+10_64_to=lpo:sil=8000:random_seed=2108796258:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 11.77/2.77 % (3925048)Instruction limit reached!
% 11.77/2.77 % (3925048)------------------------------
% 11.77/2.77 % (3925048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925048)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925048)Termination reason: Instruction limit
% 11.77/2.77 % (3925048)Termination phase: Saturation
% 11.77/2.77 % (3925048)Time elapsed: 0.110 s
% 11.77/2.77 % (3925048)Peak memory usage: 90 MB
% 11.77/2.77 % (3925048)Instructions burned: 144 (million)
% 11.77/2.77 % (3925049)Instruction limit reached!
% 11.77/2.77 % (3925049)------------------------------
% 11.77/2.77 % (3925049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925049)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925049)Termination reason: Instruction limit
% 11.77/2.77 % (3925049)Termination phase: Saturation
% 11.77/2.77 % (3925049)Time elapsed: 0.162 s
% 11.77/2.77 % (3925049)Peak memory usage: 91 MB
% 11.77/2.77 % (3925049)Instructions burned: 189 (million)
% 11.77/2.77 % (3925050)Instruction limit reached!
% 11.77/2.77 % (3925050)------------------------------
% 11.77/2.77 % (3925050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925050)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925050)Termination reason: Instruction limit
% 11.77/2.77 % (3925050)Termination phase: Saturation
% 11.77/2.77 % (3925050)Time elapsed: 0.180 s
% 11.77/2.77 % (3925050)Peak memory usage: 91 MB
% 11.77/2.77 % (3925050)Instructions burned: 219 (million)
% 11.77/2.77 % (3925051)Instruction limit reached!
% 11.77/2.77 % (3925051)------------------------------
% 11.77/2.77 % (3925051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925051)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925051)Termination reason: Instruction limit
% 11.77/2.77 % (3925051)Termination phase: Saturation
% 11.77/2.77 % (3925051)Time elapsed: 0.126 s
% 11.77/2.77 % (3925051)Peak memory usage: 90 MB
% 11.77/2.77 % (3925051)Instructions burned: 126 (million)
% 11.77/2.77 % (3925056)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3768416350:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 11.77/2.77 % (3925057)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3656301905:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 11.77/2.77 % (3925056)Instruction limit reached!
% 11.77/2.77 % (3925056)------------------------------
% 11.77/2.77 % (3925056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925056)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925056)Termination reason: Instruction limit
% 11.77/2.77 % (3925056)Termination phase: Saturation
% 11.77/2.77 % (3925056)Time elapsed: 0.103 s
% 11.77/2.77 % (3925056)Peak memory usage: 91 MB
% 11.77/2.77 % (3925056)Instructions burned: 195 (million)
% 11.77/2.77 % (3925058)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=302034041:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 11.77/2.77 % (3925059)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3296018593:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 11.77/2.77 % (3925035)First to succeed.
% 11.77/2.77 % (3925035)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3925027"
% 11.77/2.77 % (3925057)Instruction limit reached!
% 11.77/2.77 % (3925057)------------------------------
% 11.77/2.77 % (3925057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925057)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925057)Termination reason: Instruction limit
% 11.77/2.77 % (3925057)Termination phase: Saturation
% 11.77/2.77 % (3925057)Time elapsed: 0.114 s
% 11.77/2.77 % (3925057)Peak memory usage: 90 MB
% 11.77/2.77 % (3925057)Instructions burned: 157 (million)
% 11.77/2.77 % (3925059)Instruction limit reached!
% 11.77/2.77 % (3925059)------------------------------
% 11.77/2.77 % (3925059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925059)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925059)Termination reason: Instruction limit
% 11.77/2.77 % (3925059)Termination phase: Saturation
% 11.77/2.77 % (3925059)Time elapsed: 0.100 s
% 11.77/2.77 % (3925059)Peak memory usage: 90 MB
% 11.77/2.77 % (3925059)Instructions burned: 106 (million)
% 11.77/2.77 % (3925062)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3205315582:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 11.77/2.77 % (3925062)Refutation not found, incomplete strategy
% 11.77/2.77 % (3925062)------------------------------
% 11.77/2.77 % (3925062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925062)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925062)Termination reason: Refutation not found, incomplete strategy
% 11.77/2.77 % (3925062)Time elapsed: 0.029 s
% 11.77/2.77 % (3925062)Peak memory usage: 90 MB
% 11.77/2.77 % (3925062)Instructions burned: 48 (million)
% 11.77/2.77 % (3925065)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2277118844:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 11.77/2.77 % (3925066)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3956285168:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 11.77/2.77 % (3925035)Refutation found. Thanks to Tanya!
% 11.77/2.77 % SZS status Unsatisfiable for theBenchmark
% 11.77/2.77 % SZS output start Proof for theBenchmark
% See solution above
% 11.77/2.77 % (3925035)------------------------------
% 11.77/2.77 % (3925035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.77 % (3925035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.77 % (3925035)CaDiCaL version: 2.1.3
% 11.77/2.77 % (3925035)Termination reason: Refutation
% 11.77/2.77 % (3925035)Time elapsed: 0.955 s
% 11.77/2.77 % (3925035)Peak memory usage: 138 MB
% 11.77/2.77 % (3925035)Instructions burned: 1398 (million)
% 11.77/2.77 % (3925035)------------------------------
% 11.77/2.77 % (3925035)------------------------------
% 11.77/2.77 % (3925027)Success in time 1.646 s
% 11.77/2.77 % Vampire exiting
%------------------------------------------------------------------------------