%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV666-1 : 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 : n004.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 01:19:13 PM UTC 2026
% Result : Unsatisfiable 6.26s 1.72s
% Output : Refutation 6.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 11 unt; 0 def)
% Number of atoms : 13 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-5 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f437,axiom,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
| c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq_0) ).
fof(f620,axiom,
! [X0,X1] : ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__add__less2_0) ).
fof(f665,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(f1715,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(f1864,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(f1866,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(f1936,plain,
! [X2,X3,X0,X1,X4] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X0,X1,X2,X3),X4),hAPP(X0,X4),tc_nat),
inference(superposition,[],[f620,f1864]) ).
fof(f1941,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBB(X0,X1,X3,X4,X5),X6,X7,X8),X2),hAPP(X0,hAPP(X1,X2)),tc_nat),
inference(superposition,[],[f1936,f1866]) ).
fof(f1945,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBS(X0,X2,X3,X4,X5),X6,X7,X8),X1),hAPP(hAPP(X0,X1),hAPP(X2,X1)),tc_nat),
inference(superposition,[],[f1936,f1864]) ).
fof(f1964,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3,X4),X5,X6,X7),X0),hAPP(X0,hAPP(X1,X0)),tc_nat),
inference(superposition,[],[f1945,f1715]) ).
fof(f1985,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),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),X4,X5,X6),X0),hAPP(X0,X0),tc_nat),
inference(superposition,[],[f1964,f665]) ).
fof(f1998,plain,
$false,
inference(unit_resulting_resolution,[],[f437,f1941,f1985]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV666-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:11:22 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 6.26/1.72 % (314016)Input is clausal, will run a generic CNF schedule.
% 6.26/1.72 % (314022)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2994887998:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.26/1.72 % (314026)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=513370767:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.26/1.72 % (314024)lrs+10_1_sil=8000:sp=occurrence:random_seed=1214060624:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.26/1.72 % (314025)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3805196393:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.26/1.72 % (314021)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=4207122096:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.26/1.72 % (314023)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2032379984:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.26/1.72 % (314027)dis-21_1_sil=8000:lcm=predicate:random_seed=1140330732: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)
% 6.26/1.72 % (314025)Instruction limit reached!
% 6.26/1.72 % (314025)------------------------------
% 6.26/1.72 % (314025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314025)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314025)Termination reason: Instruction limit
% 6.26/1.72 % (314025)Termination phase: Saturation
% 6.26/1.72 % (314025)Time elapsed: 0.068 s
% 6.26/1.72 % (314025)Peak memory usage: 89 MB
% 6.26/1.72 % (314025)Instructions burned: 114 (million)
% 6.26/1.72 % (314024)Instruction limit reached!
% 6.26/1.72 % (314024)------------------------------
% 6.26/1.72 % (314024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314024)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314024)Termination reason: Instruction limit
% 6.26/1.72 % (314024)Termination phase: Saturation
% 6.26/1.72 % (314024)Time elapsed: 0.068 s
% 6.26/1.72 % (314024)Peak memory usage: 90 MB
% 6.26/1.72 % (314024)Instructions burned: 107 (million)
% 6.26/1.72 % (314027)Instruction limit reached!
% 6.26/1.72 % (314027)------------------------------
% 6.26/1.72 % (314027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314027)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314027)Termination reason: Instruction limit
% 6.26/1.72 % (314027)Termination phase: Saturation
% 6.26/1.72 % (314027)Time elapsed: 0.066 s
% 6.26/1.72 % (314027)Peak memory usage: 90 MB
% 6.26/1.72 % (314027)Instructions burned: 118 (million)
% 6.26/1.72 % (314026)Instruction limit reached!
% 6.26/1.72 % (314026)------------------------------
% 6.26/1.72 % (314026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314026)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314026)Termination reason: Instruction limit
% 6.26/1.72 % (314026)Termination phase: Saturation
% 6.26/1.72 % (314026)Time elapsed: 0.098 s
% 6.26/1.72 % (314026)Peak memory usage: 90 MB
% 6.26/1.72 % (314026)Instructions burned: 180 (million)
% 6.26/1.72 % (314037)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3222490522:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.26/1.72 % (314035)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=1928210675:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.26/1.72 % (314036)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1598256344: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)
% 6.26/1.72 % (314038)lrs+10_64_to=lpo:sil=8000:random_seed=3670125987:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.26/1.72 % (314035)Refutation not found, incomplete strategy
% 6.26/1.72 % (314035)------------------------------
% 6.26/1.72 % (314035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314035)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314035)Termination reason: Refutation not found, incomplete strategy
% 6.26/1.72 % (314035)Time elapsed: 0.030 s
% 6.26/1.72 % (314035)Peak memory usage: 90 MB
% 6.26/1.72 % (314035)Instructions burned: 51 (million)
% 6.26/1.72 % (314037)Refutation not found, incomplete strategy
% 6.26/1.72 % (314037)------------------------------
% 6.26/1.72 % (314037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314037)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314037)Termination reason: Refutation not found, incomplete strategy
% 6.26/1.72 % (314037)Time elapsed: 0.045 s
% 6.26/1.72 % (314037)Peak memory usage: 90 MB
% 6.26/1.72 % (314037)Instructions burned: 83 (million)
% 6.26/1.72 % (314038)Instruction limit reached!
% 6.26/1.72 % (314038)------------------------------
% 6.26/1.72 % (314038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314038)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314038)Termination reason: Instruction limit
% 6.26/1.72 % (314038)Termination phase: Saturation
% 6.26/1.72 % (314038)Time elapsed: 0.075 s
% 6.26/1.72 % (314038)Peak memory usage: 91 MB
% 6.26/1.72 % (314038)Instructions burned: 126 (million)
% 6.26/1.72 % (314036)Instruction limit reached!
% 6.26/1.72 % (314036)------------------------------
% 6.26/1.72 % (314036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314036)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314036)Termination reason: Instruction limit
% 6.26/1.72 % (314036)Termination phase: Saturation
% 6.26/1.72 % (314036)Time elapsed: 0.099 s
% 6.26/1.72 % (314036)Peak memory usage: 91 MB
% 6.26/1.72 % (314036)Instructions burned: 191 (million)
% 6.26/1.72 % (314044)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3184857570:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.26/1.72 % (314043)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3567716446:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.26/1.72 % (314022)First to succeed.
% 6.26/1.72 % (314022)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-314016"
% 6.26/1.72 % (314035)------------------------------
% 6.26/1.72 % (314035)------------------------------
% 6.26/1.72 % (314037)------------------------------
% 6.26/1.72 % (314037)------------------------------
% 6.26/1.72 % (314044)Instruction limit reached!
% 6.26/1.72 % (314044)------------------------------
% 6.26/1.72 % (314044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314044)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314044)Termination reason: Instruction limit
% 6.26/1.72 % (314044)Termination phase: Saturation
% 6.26/1.72 % (314044)Time elapsed: 0.075 s
% 6.26/1.72 % (314044)Peak memory usage: 91 MB
% 6.26/1.72 % (314044)Instructions burned: 157 (million)
% 6.26/1.72 % (314043)Instruction limit reached!
% 6.26/1.72 % (314043)------------------------------
% 6.26/1.72 % (314043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314043)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314043)Termination reason: Instruction limit
% 6.26/1.72 % (314043)Termination phase: Saturation
% 6.26/1.72 % (314043)Time elapsed: 0.123 s
% 6.26/1.72 % (314043)Peak memory usage: 91 MB
% 6.26/1.72 % (314043)Instructions burned: 195 (million)
% 6.26/1.72 % (314048)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=242341934:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 6.26/1.72 % (314047)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=740750324:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 6.26/1.72 % (314022)Refutation found. Thanks to Tanya!
% 6.26/1.72 % SZS status Unsatisfiable for theBenchmark
% 6.26/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 6.26/1.72 % (314022)------------------------------
% 6.26/1.72 % (314022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.72 % (314022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.72 % (314022)CaDiCaL version: 2.1.3
% 6.26/1.72 % (314022)Termination reason: Refutation
% 6.26/1.72 % (314022)Time elapsed: 0.511 s
% 6.26/1.72 % (314022)Peak memory usage: 145 MB
% 6.26/1.72 % (314022)Instructions burned: 1422 (million)
% 6.26/1.72 % (314022)------------------------------
% 6.26/1.72 % (314022)------------------------------
% 6.26/1.72 % (314016)Success in time 0.861 s
% 6.26/1.72 % Vampire exiting
%------------------------------------------------------------------------------