%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV663-1 : 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 : n020.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 5.97s 1.67s
% Output : Refutation 5.97s
% 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(f184,axiom,
! [X0] : hAPP(c_Suc,X0) != X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
fof(f1184,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(f1314,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(f1316,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(f1349,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,[],[f1314,f1184]) ).
fof(f1362,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,[],[f1349,f1184]) ).
fof(f1390,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,[],[f1316,f1362]) ).
fof(f1391,plain,
$false,
inference(unit_resulting_resolution,[],[f1390,f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV663-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n020.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 12:13:04 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 5.97/1.67 % (123828)Input is clausal, will run a generic CNF schedule.
% 5.97/1.67 % (123834)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1797608920:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.97/1.67 % (123838)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2955491471:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.97/1.67 % (123833)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=2091560007:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.97/1.67 % (123836)lrs+10_1_sil=8000:sp=occurrence:random_seed=1817840398:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.97/1.67 % (123837)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=31744732:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.97/1.67 % (123839)dis-21_1_sil=8000:lcm=predicate:random_seed=2600198474: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)
% 5.97/1.67 % (123835)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=528595911:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.97/1.67 % (123836)Instruction limit reached!
% 5.97/1.67 % (123836)------------------------------
% 5.97/1.67 % (123836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.67 % (123836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.67 % (123836)CaDiCaL version: 2.1.3
% 5.97/1.67 % (123836)Termination reason: Instruction limit
% 5.97/1.67 % (123836)Termination phase: Saturation
% 5.97/1.67 % (123836)Time elapsed: 0.063 s
% 5.97/1.67 % (123836)Peak memory usage: 89 MB
% 5.97/1.67 % (123836)Instructions burned: 107 (million)
% 5.97/1.67 % (123837)Instruction limit reached!
% 5.97/1.67 % (123837)------------------------------
% 5.97/1.67 % (123837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.67 % (123837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.67 % (123837)CaDiCaL version: 2.1.3
% 5.97/1.67 % (123837)Termination reason: Instruction limit
% 5.97/1.67 % (123837)Termination phase: Saturation
% 5.97/1.67 % (123837)Time elapsed: 0.065 s
% 5.97/1.67 % (123837)Peak memory usage: 89 MB
% 5.97/1.67 % (123837)Instructions burned: 114 (million)
% 5.97/1.67 % (123839)Instruction limit reached!
% 5.97/1.67 % (123839)------------------------------
% 5.97/1.67 % (123839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.67 % (123839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.67 % (123839)CaDiCaL version: 2.1.3
% 5.97/1.67 % (123839)Termination reason: Instruction limit
% 5.97/1.67 % (123839)Termination phase: Saturation
% 5.97/1.67 % (123839)Time elapsed: 0.067 s
% 5.97/1.67 % (123839)Peak memory usage: 89 MB
% 5.97/1.67 % (123839)Instructions burned: 118 (million)
% 5.97/1.67 % (123838)Instruction limit reached!
% 5.97/1.67 % (123838)------------------------------
% 5.97/1.67 % (123838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.67 % (123838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.67 % (123838)CaDiCaL version: 2.1.3
% 5.97/1.67 % (123838)Termination reason: Instruction limit
% 5.97/1.67 % (123838)Termination phase: Saturation
% 5.97/1.67 % (123838)Time elapsed: 0.103 s
% 5.97/1.67 % (123838)Peak memory usage: 90 MB
% 5.97/1.67 % (123838)Instructions burned: 180 (million)
% 5.97/1.67 % (123849)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2369725177:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.97/1.67 % (123848)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4129800061: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)
% 5.97/1.67 % (123847)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=1910104504:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.97/1.67 % (123847)Refutation not found, incomplete strategy
% 5.97/1.67 % (123847)------------------------------
% 5.97/1.67 % (123847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.67 % (123847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.67 % (123847)CaDiCaL version: 2.1.3
% 5.97/1.67 % (123847)Termination reason: Refutation not found, incomplete strategy
% 5.97/1.67 % (123847)Time elapsed: 0.019 s
% 5.97/1.67 % (123847)Peak memory usage: 89 MB
% 5.97/1.67 % (123847)Instructions burned: 33 (million)
% 5.97/1.67 % (123849)Refutation not found, incomplete strategy
% 5.97/1.67 % (123849)------------------------------
% 5.97/1.67 % (123849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.67 % (123849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.67 % (123849)CaDiCaL version: 2.1.3
% 5.97/1.67 % (123849)Termination reason: Refutation not found, incomplete strategy
% 5.97/1.67 % (123849)Time elapsed: 0.031 s
% 5.97/1.67 % (123849)Peak memory usage: 90 MB
% 5.97/1.67 % (123849)Instructions burned: 56 (million)
% 5.97/1.67 % (123850)lrs+10_64_to=lpo:sil=8000:random_seed=1236892057:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.97/1.67 % (123848)Instruction limit reached!
% 5.97/1.67 % (123848)------------------------------
% 5.97/1.67 % (123848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.67 % (123848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.67 % (123848)CaDiCaL version: 2.1.3
% 5.97/1.67 % (123848)Termination reason: Instruction limit
% 5.97/1.67 % (123848)Termination phase: Saturation
% 5.97/1.67 % (123848)Time elapsed: 0.089 s
% 5.97/1.67 % (123848)Peak memory usage: 90 MB
% 5.97/1.67 % (123848)Instructions burned: 191 (million)
% 5.97/1.67 % (123850)Instruction limit reached!
% 5.97/1.67 % (123850)------------------------------
% 5.97/1.67 % (123850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.67 % (123850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.67 % (123850)CaDiCaL version: 2.1.3
% 5.97/1.67 % (123850)Termination reason: Instruction limit
% 5.97/1.67 % (123850)Termination phase: Saturation
% 5.97/1.67 % (123850)Time elapsed: 0.077 s
% 5.97/1.67 % (123850)Peak memory usage: 90 MB
% 5.97/1.67 % (123850)Instructions burned: 126 (million)
% 5.97/1.67 % (123834)First to succeed.
% 5.97/1.67 % (123834)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-123828"
% 5.97/1.67 % (123847)------------------------------
% 5.97/1.67 % (123847)------------------------------
% 5.97/1.67 % (123855)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3581972338:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.97/1.67 % (123849)------------------------------
% 5.97/1.67 % (123849)------------------------------
% 5.97/1.67 % (123856)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1809819761:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.97/1.67 % (123834)Refutation found. Thanks to Tanya!
% 5.97/1.67 % SZS status Unsatisfiable for theBenchmark
% 5.97/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 5.97/1.67 % (123834)------------------------------
% 5.97/1.67 % (123834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.67 % (123834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.67 % (123834)CaDiCaL version: 2.1.3
% 5.97/1.67 % (123834)Termination reason: Refutation
% 5.97/1.67 % (123834)Time elapsed: 0.463 s
% 5.97/1.67 % (123834)Peak memory usage: 140 MB
% 5.97/1.67 % (123834)Instructions burned: 1236 (million)
% 5.97/1.67 % (123834)------------------------------
% 5.97/1.67 % (123834)------------------------------
% 5.97/1.67 % (123828)Success in time 0.807 s
% 5.97/1.67 % Vampire exiting
%------------------------------------------------------------------------------