%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV694-1 : 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 : n011.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 5.80s 1.63s
% Output : Refutation 5.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 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 : 7 ( 7 usr; 2 con; 0-5 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,axiom,
! [X0] : X0 != hAPP(c_Suc,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).
fof(f134,plain,
! [X0] : hAPP(c_Suc,X0) != X0,
inference(reorient_equations,[],[f133]) ).
fof(f849,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(f1303,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(f1305,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBB(X0,X1,X2,X3,X4),X5) = hAPP(X0,hAPP(X1,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
fof(f1331,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,[],[f1303,f849]) ).
fof(f1337,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,[],[f1331,f849]) ).
fof(f1363,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,[],[f1305,f1337]) ).
fof(f1364,plain,
$false,
inference(unit_resulting_resolution,[],[f1363,f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV694-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 12:16:41 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 5.80/1.63 % (3352501)Input is clausal, will run a generic CNF schedule.
% 5.80/1.63 % (3352507)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=506491906:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.80/1.63 % (3352511)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1761117391:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.80/1.63 % (3352509)lrs+10_1_sil=8000:sp=occurrence:random_seed=1050131313:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.80/1.63 % (3352510)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=864496967:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.80/1.63 % (3352512)dis-21_1_sil=8000:lcm=predicate:random_seed=588566985: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)
% 5.80/1.63 % (3352506)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=1415319584:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.80/1.63 % (3352508)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2827857683:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.80/1.63 % (3352509)Instruction limit reached!
% 5.80/1.63 % (3352509)------------------------------
% 5.80/1.63 % (3352509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352509)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352509)Termination reason: Instruction limit
% 5.80/1.63 % (3352509)Termination phase: Saturation
% 5.80/1.63 % (3352509)Time elapsed: 0.066 s
% 5.80/1.63 % (3352509)Peak memory usage: 89 MB
% 5.80/1.63 % (3352509)Instructions burned: 108 (million)
% 5.80/1.63 % (3352510)Instruction limit reached!
% 5.80/1.63 % (3352510)------------------------------
% 5.80/1.63 % (3352510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352510)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352510)Termination reason: Instruction limit
% 5.80/1.63 % (3352510)Termination phase: Saturation
% 5.80/1.63 % (3352510)Time elapsed: 0.066 s
% 5.80/1.63 % (3352510)Peak memory usage: 89 MB
% 5.80/1.63 % (3352510)Instructions burned: 116 (million)
% 5.80/1.63 % (3352512)Instruction limit reached!
% 5.80/1.63 % (3352512)------------------------------
% 5.80/1.63 % (3352512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352512)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352512)Termination reason: Instruction limit
% 5.80/1.63 % (3352512)Termination phase: Saturation
% 5.80/1.63 % (3352512)Time elapsed: 0.068 s
% 5.80/1.63 % (3352512)Peak memory usage: 90 MB
% 5.80/1.63 % (3352512)Instructions burned: 118 (million)
% 5.80/1.63 % (3352511)Instruction limit reached!
% 5.80/1.63 % (3352511)------------------------------
% 5.80/1.63 % (3352511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352511)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352511)Termination reason: Instruction limit
% 5.80/1.63 % (3352511)Termination phase: Saturation
% 5.80/1.63 % (3352511)Time elapsed: 0.105 s
% 5.80/1.63 % (3352511)Peak memory usage: 90 MB
% 5.80/1.63 % (3352511)Instructions burned: 180 (million)
% 5.80/1.63 % (3352521)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=900085415: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)
% 5.80/1.63 % (3352520)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=1697809575:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.80/1.63 % (3352522)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1745641706:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.80/1.63 % (3352523)lrs+10_64_to=lpo:sil=8000:random_seed=54623581:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.80/1.63 % (3352520)Instruction limit reached!
% 5.80/1.63 % (3352520)------------------------------
% 5.80/1.63 % (3352520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352520)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352520)Termination reason: Instruction limit
% 5.80/1.63 % (3352520)Termination phase: Saturation
% 5.80/1.63 % (3352520)Time elapsed: 0.077 s
% 5.80/1.63 % (3352520)Peak memory usage: 90 MB
% 5.80/1.63 % (3352520)Instructions burned: 143 (million)
% 5.80/1.63 % (3352521)Instruction limit reached!
% 5.80/1.63 % (3352521)------------------------------
% 5.80/1.63 % (3352521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352521)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352521)Termination reason: Instruction limit
% 5.80/1.63 % (3352521)Termination phase: Saturation
% 5.80/1.63 % (3352521)Time elapsed: 0.098 s
% 5.80/1.63 % (3352521)Peak memory usage: 91 MB
% 5.80/1.63 % (3352521)Instructions burned: 191 (million)
% 5.80/1.63 % (3352522)Instruction limit reached!
% 5.80/1.63 % (3352522)------------------------------
% 5.80/1.63 % (3352522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352522)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352522)Termination reason: Instruction limit
% 5.80/1.63 % (3352522)Termination phase: Saturation
% 5.80/1.63 % (3352522)Time elapsed: 0.113 s
% 5.80/1.63 % (3352522)Peak memory usage: 91 MB
% 5.80/1.63 % (3352522)Instructions burned: 220 (million)
% 5.80/1.63 % (3352523)Instruction limit reached!
% 5.80/1.63 % (3352523)------------------------------
% 5.80/1.63 % (3352523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352523)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352523)Termination reason: Instruction limit
% 5.80/1.63 % (3352523)Termination phase: Saturation
% 5.80/1.63 % (3352523)Time elapsed: 0.078 s
% 5.80/1.63 % (3352523)Peak memory usage: 90 MB
% 5.80/1.63 % (3352523)Instructions burned: 127 (million)
% 5.80/1.63 % (3352528)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=861779926:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.80/1.63 % (3352507)First to succeed.
% 5.80/1.63 % (3352507)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3352501"
% 5.80/1.63 % (3352529)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4259093646:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.80/1.63 % (3352530)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2901101539:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.80/1.63 % (3352531)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=2430499940:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 5.80/1.63 % (3352529)Instruction limit reached!
% 5.80/1.63 % (3352529)------------------------------
% 5.80/1.63 % (3352529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352529)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352529)Termination reason: Instruction limit
% 5.80/1.63 % (3352529)Termination phase: Saturation
% 5.80/1.63 % (3352529)Time elapsed: 0.084 s
% 5.80/1.63 % (3352529)Peak memory usage: 91 MB
% 5.80/1.63 % (3352529)Instructions burned: 157 (million)
% 5.80/1.63 % (3352528)Instruction limit reached!
% 5.80/1.63 % (3352528)------------------------------
% 5.80/1.63 % (3352528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352528)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352528)Termination reason: Instruction limit
% 5.80/1.63 % (3352528)Termination phase: Saturation
% 5.80/1.63 % (3352528)Time elapsed: 0.126 s
% 5.80/1.63 % (3352528)Peak memory usage: 91 MB
% 5.80/1.63 % (3352528)Instructions burned: 194 (million)
% 5.80/1.63 % (3352531)Instruction limit reached!
% 5.80/1.63 % (3352531)------------------------------
% 5.80/1.63 % (3352531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352531)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352531)Termination reason: Instruction limit
% 5.80/1.63 % (3352531)Termination phase: Saturation
% 5.80/1.63 % (3352531)Time elapsed: 0.057 s
% 5.80/1.63 % (3352531)Peak memory usage: 89 MB
% 5.80/1.63 % (3352531)Instructions burned: 106 (million)
% 5.80/1.63 % (3352507)Refutation found. Thanks to Tanya!
% 5.80/1.63 % SZS status Unsatisfiable for theBenchmark
% 5.80/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.80/1.63 % (3352507)------------------------------
% 5.80/1.63 % (3352507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.63 % (3352507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.63 % (3352507)CaDiCaL version: 2.1.3
% 5.80/1.63 % (3352507)Termination reason: Refutation
% 5.80/1.63 % (3352507)Time elapsed: 0.457 s
% 5.80/1.63 % (3352507)Peak memory usage: 137 MB
% 5.80/1.63 % (3352507)Instructions burned: 1307 (million)
% 5.80/1.63 % (3352507)------------------------------
% 5.80/1.63 % (3352507)------------------------------
% 5.80/1.63 % (3352501)Success in time 0.789 s
% 5.80/1.63 % Vampire exiting
%------------------------------------------------------------------------------