%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV695-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:19:18 PM UTC 2026
% Result : Unsatisfiable 8.07s 2.00s
% Output : Refutation 8.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 12 unt; 1 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 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-5 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,axiom,
! [X0] : X0 != hAPP(c_Suc,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).
fof(f81,plain,
! [X0] : hAPP(c_Suc,X0) != X0,
inference(reorient_equations,[],[f80]) ).
fof(f950,axiom,
! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_plus__nat_Oadd__0_0) ).
fof(f1410,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/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).
fof(f1412,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
fof(f1437,definition,
sF11 = c_HOL_Ozero__class_Ozero(tc_nat),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f1438,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = sF11,
inference(reorient_equations,[],[f1437]) ).
fof(f1597,plain,
! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),sF11),X0) = X0,
inference(backward_demodulation,[],[f950,f1438]) ).
fof(f1732,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(X0,hAPP(X1,hAPP(X2,X1))) = hAPP(c_COMBS(hAPP(c_COMBB(X3,X4,X5),X0),X2,X6,X7,X8),X1),
inference(superposition,[],[f1410,f1412]) ).
fof(f1759,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X7,hAPP(X3,X7)) != hAPP(c_COMBS(hAPP(c_COMBB(X0,X1,X2),c_Suc),X3,X4,X5,X6),X7),
inference(superposition,[],[f81,f1732]) ).
fof(f1768,plain,
! [X2,X3,X0,X1,X6,X4,X5] : hAPP(X0,X0) != hAPP(c_COMBS(hAPP(c_COMBB(X1,X2,X3),c_Suc),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),sF11),X4,X5,X6),X0),
inference(superposition,[],[f1759,f1597]) ).
fof(f1785,plain,
$false,
inference(equality_resolution,[],[f1768]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV695-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n018.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 12:17:55 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 5.59/1.81 % (3337845)Input is clausal, will run a generic CNF schedule.
% 5.59/1.81 % (3337852)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2582361246:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.59/1.81 % (3337853)lrs+10_1_sil=8000:sp=occurrence:random_seed=1432499259:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.59/1.81 % (3337850)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=3677898973:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.59/1.81 % (3337851)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2681594994:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.59/1.81 % (3337854)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3162834573:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.59/1.81 % (3337855)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4028811636:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.59/1.81 % (3337856)dis-21_1_sil=8000:lcm=predicate:random_seed=1418971365:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.59/1.81 % (3337854)Instruction limit reached!
% 5.59/1.81 % (3337854)------------------------------
% 5.59/1.81 % (3337854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.81 % (3337854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.81 % (3337854)CaDiCaL version: 2.1.3
% 5.59/1.81 % (3337854)Termination reason: Instruction limit
% 5.59/1.81 % (3337854)Termination phase: Saturation
% 5.59/1.81 % (3337854)Time elapsed: 0.064 s
% 5.59/1.81 % (3337854)Peak memory usage: 89 MB
% 5.59/1.81 % (3337854)Instructions burned: 115 (million)
% 5.59/1.81 % (3337853)Instruction limit reached!
% 5.59/1.81 % (3337853)------------------------------
% 5.59/1.81 % (3337853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.81 % (3337853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.81 % (3337853)CaDiCaL version: 2.1.3
% 5.59/1.81 % (3337853)Termination reason: Instruction limit
% 5.59/1.81 % (3337853)Termination phase: Saturation
% 5.59/1.81 % (3337853)Time elapsed: 0.065 s
% 5.59/1.81 % (3337853)Peak memory usage: 89 MB
% 5.59/1.81 % (3337853)Instructions burned: 107 (million)
% 5.59/1.81 % (3337856)Instruction limit reached!
% 5.59/1.81 % (3337856)------------------------------
% 5.59/1.81 % (3337856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.81 % (3337856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.81 % (3337856)CaDiCaL version: 2.1.3
% 5.59/1.81 % (3337856)Termination reason: Instruction limit
% 5.59/1.81 % (3337856)Termination phase: Saturation
% 5.59/1.81 % (3337856)Time elapsed: 0.065 s
% 5.59/1.81 % (3337856)Peak memory usage: 89 MB
% 5.59/1.81 % (3337856)Instructions burned: 119 (million)
% 5.59/1.81 % (3337855)Instruction limit reached!
% 5.59/1.81 % (3337855)------------------------------
% 5.59/1.81 % (3337855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.81 % (3337855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.81 % (3337855)CaDiCaL version: 2.1.3
% 5.59/1.81 % (3337855)Termination reason: Instruction limit
% 5.59/1.81 % (3337855)Termination phase: Saturation
% 5.59/1.81 % (3337855)Time elapsed: 0.103 s
% 5.59/1.81 % (3337855)Peak memory usage: 89 MB
% 5.59/1.81 % (3337855)Instructions burned: 183 (million)
% 5.59/1.81 % (3337865)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2422309519:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.59/1.81 % (3337864)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=108149711:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.59/1.81 % (3337866)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2056111904:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.59/1.81 % (3337864)Refutation not found, incomplete strategy
% 5.59/1.81 % (3337864)------------------------------
% 5.59/1.81 % (3337864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.00 % (3337864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.00 % (3337864)CaDiCaL version: 2.1.3
% 8.07/2.00 % (3337864)Termination reason: Refutation not found, incomplete strategy
% 8.07/2.00 % (3337864)Time elapsed: 0.025 s
% 8.07/2.00 % (3337864)Peak memory usage: 89 MB
% 8.07/2.00 % (3337864)Instructions burned: 43 (million)
% 8.07/2.00 % (3337867)lrs+10_64_to=lpo:sil=8000:random_seed=740777274:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.07/2.00 % (3337865)Instruction limit reached!
% 8.07/2.00 % (3337865)------------------------------
% 8.07/2.00 % (3337865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.00 % (3337865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.00 % (3337865)CaDiCaL version: 2.1.3
% 8.07/2.00 % (3337865)Termination reason: Instruction limit
% 8.07/2.00 % (3337865)Termination phase: Saturation
% 8.07/2.00 % (3337865)Time elapsed: 0.098 s
% 8.07/2.00 % (3337865)Peak memory usage: 91 MB
% 8.07/2.00 % (3337865)Instructions burned: 191 (million)
% 8.07/2.00 % (3337867)Instruction limit reached!
% 8.07/2.00 % (3337867)------------------------------
% 8.07/2.00 % (3337867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.00 % (3337867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.00 % (3337867)CaDiCaL version: 2.1.3
% 8.07/2.00 % (3337867)Termination reason: Instruction limit
% 8.07/2.00 % (3337867)Termination phase: Saturation
% 8.07/2.00 % (3337867)Time elapsed: 0.075 s
% 8.07/2.00 % (3337867)Peak memory usage: 90 MB
% 8.07/2.00 % (3337867)Instructions burned: 127 (million)
% 8.07/2.00 % (3337866)Instruction limit reached!
% 8.07/2.00 % (3337866)------------------------------
% 8.07/2.00 % (3337866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.00 % (3337866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.00 % (3337866)CaDiCaL version: 2.1.3
% 8.07/2.00 % (3337866)Termination reason: Instruction limit
% 8.07/2.00 % (3337866)Termination phase: Saturation
% 8.07/2.00 % (3337866)Time elapsed: 0.113 s
% 8.07/2.00 % (3337866)Peak memory usage: 91 MB
% 8.07/2.00 % (3337866)Instructions burned: 219 (million)
% 8.07/2.00 % (3337872)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2051469260:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.07/2.00 % (3337874)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1870224362:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.07/2.00 % (3337873)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3090980046:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.07/2.00 % (3337864)------------------------------
% 8.07/2.00 % (3337864)------------------------------
% 8.07/2.00 % (3337873)Instruction limit reached!
% 8.07/2.00 % (3337873)------------------------------
% 8.07/2.00 % (3337873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.00 % (3337873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.00 % (3337873)CaDiCaL version: 2.1.3
% 8.07/2.00 % (3337873)Termination reason: Instruction limit
% 8.07/2.00 % (3337873)Termination phase: Saturation
% 8.07/2.00 % (3337873)Time elapsed: 0.075 s
% 8.07/2.00 % (3337873)Peak memory usage: 90 MB
% 8.07/2.00 % (3337873)Instructions burned: 158 (million)
% 8.07/2.00 % (3337872)Instruction limit reached!
% 8.07/2.00 % (3337872)------------------------------
% 8.07/2.00 % (3337872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.00 % (3337872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.00 % (3337872)CaDiCaL version: 2.1.3
% 8.07/2.00 % (3337872)Termination reason: Instruction limit
% 8.07/2.00 % (3337872)Termination phase: Saturation
% 8.07/2.00 % (3337872)Time elapsed: 0.124 s
% 8.07/2.00 % (3337872)Peak memory usage: 91 MB
% 8.07/2.00 % (3337872)Instructions burned: 195 (million)
% 8.07/2.00 % (3337878)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=4182981503:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.07/2.00 % (3337852)First to succeed.
% 8.07/2.00 % (3337852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3337845"
% 8.07/2.00 % (3337879)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3753228505:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.07/2.00 % (3337878)Instruction limit reached!
% 8.07/2.00 % (3337878)------------------------------
% 8.07/2.00 % (3337878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.00 % (3337878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.00 % (3337878)CaDiCaL version: 2.1.3
% 8.07/2.00 % (3337878)Termination reason: Instruction limit
% 8.07/2.00 % (3337878)Termination phase: Saturation
% 8.07/2.00 % (3337878)Time elapsed: 0.059 s
% 8.07/2.00 % (3337878)Peak memory usage: 90 MB
% 8.07/2.00 % (3337878)Instructions burned: 106 (million)
% 8.07/2.00 % (3337880)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1395276482:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.07/2.00 % (3337879)Refutation not found, incomplete strategy
% 8.07/2.00 % (3337879)------------------------------
% 8.07/2.00 % (3337879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.00 % (3337879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.00 % (3337879)CaDiCaL version: 2.1.3
% 8.07/2.00 % (3337879)Termination reason: Refutation not found, incomplete strategy
% 8.07/2.00 % (3337879)Time elapsed: 0.028 s
% 8.07/2.00 % (3337879)Peak memory usage: 89 MB
% 8.07/2.00 % (3337879)Instructions burned: 46 (million)
% 8.07/2.00 % (3337880)Instruction limit reached!
% 8.07/2.00 % (3337880)------------------------------
% 8.07/2.00 % (3337880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.00 % (3337880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.00 % (3337880)CaDiCaL version: 2.1.3
% 8.07/2.00 % (3337880)Termination reason: Instruction limit
% 8.07/2.00 % (3337880)Termination phase: Saturation
% 8.07/2.00 % (3337880)Time elapsed: 0.129 s
% 8.07/2.00 % (3337880)Peak memory usage: 90 MB
% 8.07/2.00 % (3337880)Instructions burned: 243 (million)
% 8.07/2.00 % (3337884)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4077786735:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.07/2.00 % (3337851)Also succeeded, but the first one will report.
% 8.07/2.00 % (3337850)Also succeeded, but the first one will report.
% 8.07/2.00 % (3337852)Refutation found. Thanks to Tanya!
% 8.07/2.00 % SZS status Unsatisfiable for theBenchmark
% 8.07/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 8.07/2.00 % (3337852)------------------------------
% 8.07/2.00 % (3337852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.00 % (3337852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.00 % (3337852)CaDiCaL version: 2.1.3
% 8.07/2.00 % (3337852)Termination reason: Refutation
% 8.07/2.00 % (3337852)Time elapsed: 0.685 s
% 8.07/2.00 % (3337852)Peak memory usage: 142 MB
% 8.07/2.00 % (3337852)Instructions burned: 1531 (million)
% 8.07/2.00 % (3337852)------------------------------
% 8.07/2.00 % (3337852)------------------------------
% 8.07/2.00 % (3337845)Success in time 1.123 s
% 8.07/2.00 % Vampire exiting
%------------------------------------------------------------------------------