%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV682-1 : 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 : n009.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 01:19:16 PM UTC 2026
% Result : Unsatisfiable 9.55s 2.17s
% Output : Refutation 9.55s
% 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 : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311,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(f863,axiom,
! [X0] : hAPP(c_Suc,X0) != X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
fof(f1135,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(X3,X5),hAPP(X4,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).
fof(f1137,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/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
fof(f1159,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),X7),X8) = hAPP(X6,hAPP(X8,hAPP(X7,X8))),
inference(superposition,[],[f1137,f1135]) ).
fof(f1190,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X7,hAPP(X6,X7)) != hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Suc)),X6),X7),
inference(superposition,[],[f863,f1159]) ).
fof(f1208,plain,
! [X2,X3,X0,X1,X6,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBB(X4,X5,X6),c_Suc)),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat))),X0) != hAPP(X0,X0),
inference(superposition,[],[f1190,f311]) ).
fof(f1220,plain,
$false,
inference(equality_resolution,[],[f1208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV682-1 : 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 : n009.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 12:14:45 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 7.65/1.97 % (2993796)Input is clausal, will run a generic CNF schedule.
% 7.65/1.97 % (2993807)dis-21_1_sil=8000:lcm=predicate:random_seed=3365150970: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)
% 7.65/1.97 % (2993807)Instruction limit reached!
% 7.65/1.97 % (2993807)------------------------------
% 7.65/1.97 % (2993807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/1.97 % (2993807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.97 % (2993807)CaDiCaL version: 2.1.3
% 7.65/1.97 % (2993807)Termination reason: Instruction limit
% 7.65/1.97 % (2993807)Termination phase: Saturation
% 7.65/1.97 % (2993807)Time elapsed: 0.035 s
% 7.65/1.97 % (2993807)Peak memory usage: 89 MB
% 7.65/1.97 % (2993807)Instructions burned: 120 (million)
% 7.65/1.97 % (2993802)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3600311387:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.65/1.97 % (2993805)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1563213040:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.65/1.97 % (2993806)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2654732056:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.65/1.97 % (2993801)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=2742050578:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.65/1.97 % (2993804)lrs+10_1_sil=8000:sp=occurrence:random_seed=4003381507:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.65/1.97 % (2993803)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1439978231:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.65/1.97 % (2993804)Instruction limit reached!
% 7.65/1.97 % (2993804)------------------------------
% 7.65/1.97 % (2993804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/1.97 % (2993804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.97 % (2993804)CaDiCaL version: 2.1.3
% 7.65/1.97 % (2993804)Termination reason: Instruction limit
% 7.65/1.97 % (2993804)Termination phase: Saturation
% 7.65/1.97 % (2993804)Time elapsed: 0.069 s
% 7.65/1.97 % (2993804)Peak memory usage: 89 MB
% 7.65/1.97 % (2993804)Instructions burned: 108 (million)
% 7.65/1.97 % (2993805)Instruction limit reached!
% 7.65/1.97 % (2993805)------------------------------
% 7.65/1.97 % (2993805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/1.97 % (2993805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.97 % (2993805)CaDiCaL version: 2.1.3
% 7.65/1.97 % (2993805)Termination reason: Instruction limit
% 7.65/1.97 % (2993805)Termination phase: Saturation
% 7.65/1.97 % (2993805)Time elapsed: 0.071 s
% 7.65/1.97 % (2993805)Peak memory usage: 89 MB
% 7.65/1.97 % (2993805)Instructions burned: 114 (million)
% 7.65/1.97 % (2993809)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=1142054238:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.65/1.97 % (2993806)Instruction limit reached!
% 7.65/1.97 % (2993806)------------------------------
% 7.65/1.97 % (2993806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/1.97 % (2993806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.97 % (2993806)CaDiCaL version: 2.1.3
% 7.65/1.97 % (2993806)Termination reason: Instruction limit
% 7.65/1.97 % (2993806)Termination phase: Saturation
% 7.65/1.97 % (2993806)Time elapsed: 0.119 s
% 7.65/1.97 % (2993806)Peak memory usage: 90 MB
% 7.65/1.97 % (2993806)Instructions burned: 180 (million)
% 7.65/1.97 % (2993809)Refutation not found, incomplete strategy
% 7.65/1.97 % (2993809)------------------------------
% 7.65/1.97 % (2993809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.65/1.97 % (2993809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.97 % (2993809)CaDiCaL version: 2.1.3
% 7.65/1.97 % (2993809)Termination reason: Refutation not found, incomplete strategy
% 7.65/1.97 % (2993809)Time elapsed: 0.011 s
% 7.65/1.97 % (2993809)Peak memory usage: 89 MB
% 7.65/1.97 % (2993809)Instructions burned: 35 (million)
% 7.65/1.97 % (2993816)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3573722892: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)
% 9.55/2.17 % (2993817)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3915236724:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.55/2.17 % (2993817)Refutation not found, incomplete strategy
% 9.55/2.17 % (2993817)------------------------------
% 9.55/2.17 % (2993817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.17 % (2993817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.17 % (2993817)CaDiCaL version: 2.1.3
% 9.55/2.17 % (2993817)Termination reason: Refutation not found, incomplete strategy
% 9.55/2.17 % (2993817)Time elapsed: 0.042 s
% 9.55/2.17 % (2993817)Peak memory usage: 89 MB
% 9.55/2.17 % (2993817)Instructions burned: 77 (million)
% 9.55/2.17 % (2993809)------------------------------
% 9.55/2.17 % (2993809)------------------------------
% 9.55/2.17 % (2993819)lrs+10_64_to=lpo:sil=8000:random_seed=1520046481:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.55/2.17 % (2993816)Instruction limit reached!
% 9.55/2.17 % (2993816)------------------------------
% 9.55/2.17 % (2993816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.17 % (2993816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.17 % (2993816)CaDiCaL version: 2.1.3
% 9.55/2.17 % (2993816)Termination reason: Instruction limit
% 9.55/2.17 % (2993816)Termination phase: Saturation
% 9.55/2.17 % (2993816)Time elapsed: 0.100 s
% 9.55/2.17 % (2993816)Peak memory usage: 90 MB
% 9.55/2.17 % (2993816)Instructions burned: 189 (million)
% 9.55/2.17 % (2993819)Instruction limit reached!
% 9.55/2.17 % (2993819)------------------------------
% 9.55/2.17 % (2993819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.17 % (2993819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.17 % (2993819)CaDiCaL version: 2.1.3
% 9.55/2.17 % (2993819)Termination reason: Instruction limit
% 9.55/2.17 % (2993819)Termination phase: Saturation
% 9.55/2.17 % (2993819)Time elapsed: 0.078 s
% 9.55/2.17 % (2993819)Peak memory usage: 90 MB
% 9.55/2.17 % (2993819)Instructions burned: 126 (million)
% 9.55/2.17 % (2993823)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3626318214:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 9.55/2.17 % (2993823)Instruction limit reached!
% 9.55/2.17 % (2993823)------------------------------
% 9.55/2.17 % (2993823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.17 % (2993823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.17 % (2993823)CaDiCaL version: 2.1.3
% 9.55/2.17 % (2993823)Termination reason: Instruction limit
% 9.55/2.17 % (2993823)Termination phase: Saturation
% 9.55/2.17 % (2993823)Time elapsed: 0.068 s
% 9.55/2.17 % (2993823)Peak memory usage: 90 MB
% 9.55/2.17 % (2993823)Instructions burned: 195 (million)
% 9.55/2.17 % (2993824)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2310911848:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.55/2.17 % (2993817)------------------------------
% 9.55/2.17 % (2993817)------------------------------
% 9.55/2.17 % (2993825)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=989443312:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.55/2.17 % (2993824)Instruction limit reached!
% 9.55/2.17 % (2993824)------------------------------
% 9.55/2.17 % (2993824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.17 % (2993824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.17 % (2993824)CaDiCaL version: 2.1.3
% 9.55/2.17 % (2993824)Termination reason: Instruction limit
% 9.55/2.17 % (2993824)Termination phase: Saturation
% 9.55/2.17 % (2993824)Time elapsed: 0.090 s
% 9.55/2.17 % (2993824)Peak memory usage: 91 MB
% 9.55/2.17 % (2993824)Instructions burned: 158 (million)
% 9.55/2.17 % (2993827)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=353699733:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 9.55/2.17 % (2993827)Instruction limit reached!
% 9.55/2.17 % (2993827)------------------------------
% 9.55/2.17 % (2993827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.17 % (2993827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.17 % (2993827)CaDiCaL version: 2.1.3
% 9.55/2.17 % (2993827)Termination reason: Instruction limit
% 9.55/2.17 % (2993827)Termination phase: Saturation
% 9.55/2.17 % (2993827)Time elapsed: 0.033 s
% 9.55/2.17 % (2993827)Peak memory usage: 90 MB
% 9.55/2.17 % (2993827)Instructions burned: 109 (million)
% 9.55/2.17 % (2993830)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=333082076:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 9.55/2.17 % (2993830)Refutation not found, incomplete strategy
% 9.55/2.17 % (2993830)------------------------------
% 9.55/2.17 % (2993830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.17 % (2993830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.17 % (2993830)CaDiCaL version: 2.1.3
% 9.55/2.17 % (2993830)Termination reason: Refutation not found, incomplete strategy
% 9.55/2.17 % (2993830)Time elapsed: 0.021 s
% 9.55/2.17 % (2993830)Peak memory usage: 89 MB
% 9.55/2.17 % (2993830)Instructions burned: 32 (million)
% 9.55/2.17 % (2993831)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1521453362:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 9.55/2.17 % (2993833)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2347991976:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 9.55/2.17 % (2993802)First to succeed.
% 9.55/2.17 % (2993802)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2993796"
% 9.55/2.17 % (2993801)Also succeeded, but the first one will report.
% 9.55/2.17 % (2993831)Instruction limit reached!
% 9.55/2.17 % (2993831)------------------------------
% 9.55/2.17 % (2993831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.17 % (2993831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.17 % (2993831)CaDiCaL version: 2.1.3
% 9.55/2.17 % (2993831)Termination reason: Instruction limit
% 9.55/2.17 % (2993831)Termination phase: Saturation
% 9.55/2.17 % (2993831)Time elapsed: 0.135 s
% 9.55/2.17 % (2993831)Peak memory usage: 90 MB
% 9.55/2.17 % (2993831)Instructions burned: 243 (million)
% 9.55/2.17 % (2993803)Also succeeded, but the first one will report.
% 9.55/2.17 % (2993830)------------------------------
% 9.55/2.17 % (2993830)------------------------------
% 9.55/2.17 % (2993837)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2309927245:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 9.55/2.17 % (2993802)Refutation found. Thanks to Tanya!
% 9.55/2.17 % SZS status Unsatisfiable for theBenchmark
% 9.55/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 9.55/2.17 % (2993802)------------------------------
% 9.55/2.17 % (2993802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.17 % (2993802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.17 % (2993802)CaDiCaL version: 2.1.3
% 9.55/2.17 % (2993802)Termination reason: Refutation
% 9.55/2.17 % (2993802)Time elapsed: 0.813 s
% 9.55/2.17 % (2993802)Peak memory usage: 135 MB
% 9.55/2.17 % (2993802)Instructions burned: 1289 (million)
% 9.55/2.17 % (2993802)------------------------------
% 9.55/2.17 % (2993802)------------------------------
% 9.55/2.17 % (2993796)Success in time 1.311 s
% 9.55/2.17 % Vampire exiting
%------------------------------------------------------------------------------