%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV658-1 : 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 : n007.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 01:19:12 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 9 ( 9 usr; 2 con; 0-5 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,axiom,
! [X0] : hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__1_0) ).
fof(f442,axiom,
! [X0] : X0 != hAPP(c_Suc,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).
fof(f443,plain,
! [X0] : hAPP(c_Suc,X0) != X0,
inference(reorient_equations,[],[f442]) ).
fof(f800,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(f923,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(f925,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(f944,plain,
! [X2,X3,X0,X1,X4] : hAPP(X0,hAPP(X1,X0)) = hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3,X4),X0),
inference(superposition,[],[f923,f800]) ).
fof(f954,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_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X1,X2,X3),X0) = hAPP(X0,X0),
inference(superposition,[],[f944,f172]) ).
fof(f983,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_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(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,[],[f925,f954]) ).
fof(f986,plain,
$false,
inference(unit_resulting_resolution,[],[f983,f443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV658-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n007.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 12:09:10 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
% 0.20/1.60 % (2349059)Input is clausal, will run a generic CNF schedule.
% 0.20/1.60 % (2349065)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3075260997:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.60 % (2349064)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=3835673335:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.60 % (2349066)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1320966871:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.60 % (2349068)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1889539935:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.60 % (2349067)lrs+10_1_sil=8000:sp=occurrence:random_seed=3995629458:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.60 % (2349070)dis-21_1_sil=8000:lcm=predicate:random_seed=3932974821: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)
% 0.20/1.60 % (2349069)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3451868254:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.60 % (2349067)Instruction limit reached!
% 0.20/1.60 % (2349067)------------------------------
% 0.20/1.60 % (2349067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (2349067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (2349067)CaDiCaL version: 2.1.3
% 0.20/1.60 % (2349067)Termination reason: Instruction limit
% 0.20/1.60 % (2349067)Termination phase: Saturation
% 0.20/1.60 % (2349067)Time elapsed: 0.064 s
% 0.20/1.60 % (2349067)Peak memory usage: 89 MB
% 0.20/1.60 % (2349067)Instructions burned: 108 (million)
% 0.20/1.60 % (2349068)Instruction limit reached!
% 0.20/1.60 % (2349068)------------------------------
% 0.20/1.60 % (2349068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (2349068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (2349068)CaDiCaL version: 2.1.3
% 0.20/1.60 % (2349068)Termination reason: Instruction limit
% 0.20/1.60 % (2349068)Termination phase: Saturation
% 0.20/1.60 % (2349068)Time elapsed: 0.064 s
% 0.20/1.60 % (2349068)Peak memory usage: 89 MB
% 0.20/1.60 % (2349068)Instructions burned: 114 (million)
% 0.20/1.60 % (2349070)Instruction limit reached!
% 0.20/1.60 % (2349070)------------------------------
% 0.20/1.60 % (2349070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (2349070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (2349070)CaDiCaL version: 2.1.3
% 0.20/1.60 % (2349070)Termination reason: Instruction limit
% 0.20/1.60 % (2349070)Termination phase: Saturation
% 0.20/1.60 % (2349070)Time elapsed: 0.066 s
% 0.20/1.60 % (2349070)Peak memory usage: 89 MB
% 0.20/1.60 % (2349070)Instructions burned: 118 (million)
% 0.20/1.60 % (2349069)Instruction limit reached!
% 0.20/1.60 % (2349069)------------------------------
% 0.20/1.60 % (2349069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (2349069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (2349069)CaDiCaL version: 2.1.3
% 0.20/1.60 % (2349069)Termination reason: Instruction limit
% 0.20/1.60 % (2349069)Termination phase: Saturation
% 0.20/1.60 % (2349069)Time elapsed: 0.101 s
% 0.20/1.60 % (2349069)Peak memory usage: 89 MB
% 0.20/1.60 % (2349069)Instructions burned: 180 (million)
% 0.20/1.60 % (2349080)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3249522587:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.20/1.60 % (2349079)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1729034845: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)
% 0.20/1.60 % (2349078)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=1478575760:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.20/1.60 % (2349078)Refutation not found, incomplete strategy
% 0.20/1.60 % (2349078)------------------------------
% 0.20/1.60 % (2349078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (2349078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (2349078)CaDiCaL version: 2.1.3
% 0.20/1.60 % (2349078)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.60 % (2349078)Time elapsed: 0.018 s
% 0.20/1.60 % (2349078)Peak memory usage: 88 MB
% 0.20/1.60 % (2349078)Instructions burned: 30 (million)
% 0.20/1.60 % (2349081)lrs+10_64_to=lpo:sil=8000:random_seed=652566439:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 0.20/1.60 % (2349080)Refutation not found, incomplete strategy
% 0.20/1.60 % (2349080)------------------------------
% 0.20/1.60 % (2349080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (2349080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (2349080)CaDiCaL version: 2.1.3
% 0.20/1.60 % (2349080)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.60 % (2349080)Time elapsed: 0.022 s
% 0.20/1.60 % (2349080)Peak memory usage: 89 MB
% 0.20/1.60 % (2349080)Instructions burned: 39 (million)
% 0.20/1.60 % (2349079)Instruction limit reached!
% 0.20/1.60 % (2349079)------------------------------
% 0.20/1.60 % (2349079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (2349079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (2349079)CaDiCaL version: 2.1.3
% 0.20/1.60 % (2349079)Termination reason: Instruction limit
% 0.20/1.60 % (2349079)Termination phase: Saturation
% 0.20/1.60 % (2349079)Time elapsed: 0.091 s
% 0.20/1.60 % (2349079)Peak memory usage: 90 MB
% 0.20/1.60 % (2349079)Instructions burned: 190 (million)
% 0.20/1.60 % (2349081)Instruction limit reached!
% 0.20/1.60 % (2349081)------------------------------
% 0.20/1.60 % (2349081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (2349081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (2349081)CaDiCaL version: 2.1.3
% 0.20/1.60 % (2349081)Termination reason: Instruction limit
% 0.20/1.60 % (2349081)Termination phase: Saturation
% 0.20/1.60 % (2349081)Time elapsed: 0.079 s
% 0.20/1.60 % (2349081)Peak memory usage: 90 MB
% 0.20/1.60 % (2349081)Instructions burned: 127 (million)
% 0.20/1.60 % (2349065)First to succeed.
% 0.20/1.60 % (2349065)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2349059"
% 0.20/1.60 % (2349080)------------------------------
% 0.20/1.60 % (2349080)------------------------------
% 0.20/1.60 % (2349078)------------------------------
% 0.20/1.60 % (2349078)------------------------------
% 0.20/1.60 % (2349086)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2657695633:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 0.20/1.60 % (2349087)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2066910279:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 0.20/1.60 % (2349065)Refutation found. Thanks to Tanya!
% 0.20/1.60 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.60 % (2349065)------------------------------
% 0.20/1.60 % (2349065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (2349065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (2349065)CaDiCaL version: 2.1.3
% 0.20/1.60 % (2349065)Termination reason: Refutation
% 0.20/1.60 % (2349065)Time elapsed: 0.417 s
% 0.20/1.60 % (2349065)Peak memory usage: 137 MB
% 0.20/1.60 % (2349065)Instructions burned: 1163 (million)
% 0.20/1.60 % (2349065)------------------------------
% 0.20/1.60 % (2349065)------------------------------
% 0.20/1.60 % (2349059)Success in time 0.732 s
% 0.20/1.60 % Vampire exiting
%------------------------------------------------------------------------------