%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV657-1 : 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 : n008.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 6.12s 1.61s
% Output : Refutation 6.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 12 unt; 1 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-5 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,axiom,
! [X0] : hAPP(c_Suc,X0) != X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
fof(f1092,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(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
fof(f1369,definition,
sF25 = c_HOL_Oone__class_Oone(tc_nat),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f1370,plain,
c_HOL_Oone__class_Oone(tc_nat) = sF25,
inference(reorient_equations,[],[f1369]) ).
fof(f1586,plain,
! [X0] : hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),sF25),X0) = X0,
inference(backward_demodulation,[],[f1092,f1370]) ).
fof(f1896,plain,
! [X2,X3,X0,X1,X4] : hAPP(c_COMBS(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),sF25),X1,X2,X3,X4),X0) = hAPP(X0,hAPP(X1,X0)),
inference(superposition,[],[f1314,f1586]) ).
fof(f1914,plain,
! [X2,X3,X0,X1,X4] : hAPP(X0,X4) != hAPP(c_COMBB(c_Suc,X0,X1,X2,X3),X4),
inference(superposition,[],[f188,f1316]) ).
fof(f1932,plain,
! [X2,X3,X0,X1] : hAPP(c_COMBS(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),sF25),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),sF25),X1,X2,X3),X0) = hAPP(X0,X0),
inference(superposition,[],[f1896,f1586]) ).
fof(f1977,plain,
! [X2,X3,X0,X1,X6,X4,X5] : hAPP(c_COMBS(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),sF25),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),sF25),X0,X1,X2),c_COMBB(c_Suc,X3,X4,X5,X6)) != hAPP(X3,c_COMBB(c_Suc,X3,X4,X5,X6)),
inference(superposition,[],[f1914,f1932]) ).
fof(f1984,plain,
$false,
inference(equality_resolution,[],[f1977]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV657-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 12:10:40 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 6.12/1.61 % (2208506)Input is clausal, will run a generic CNF schedule.
% 6.12/1.61 % (2208513)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2274324774:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.12/1.61 % (2208516)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=163335317:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.12/1.61 % (2208514)lrs+10_1_sil=8000:sp=occurrence:random_seed=3438627542:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.12/1.61 % (2208512)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=71098931:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.12/1.61 % (2208511)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=3230606527:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.12/1.61 % (2208515)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=612184856:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.12/1.61 % (2208517)dis-21_1_sil=8000:lcm=predicate:random_seed=3748523675: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)
% 6.12/1.61 % (2208514)Instruction limit reached!
% 6.12/1.61 % (2208514)------------------------------
% 6.12/1.61 % (2208514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208514)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208514)Termination reason: Instruction limit
% 6.12/1.61 % (2208514)Termination phase: Saturation
% 6.12/1.61 % (2208514)Time elapsed: 0.063 s
% 6.12/1.61 % (2208514)Peak memory usage: 90 MB
% 6.12/1.61 % (2208514)Instructions burned: 109 (million)
% 6.12/1.61 % (2208515)Instruction limit reached!
% 6.12/1.61 % (2208515)------------------------------
% 6.12/1.61 % (2208515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208515)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208515)Termination reason: Instruction limit
% 6.12/1.61 % (2208515)Termination phase: Saturation
% 6.12/1.61 % (2208515)Time elapsed: 0.066 s
% 6.12/1.61 % (2208515)Peak memory usage: 89 MB
% 6.12/1.61 % (2208515)Instructions burned: 115 (million)
% 6.12/1.61 % (2208517)Instruction limit reached!
% 6.12/1.61 % (2208517)------------------------------
% 6.12/1.61 % (2208517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208517)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208517)Termination reason: Instruction limit
% 6.12/1.61 % (2208517)Termination phase: Saturation
% 6.12/1.61 % (2208517)Time elapsed: 0.067 s
% 6.12/1.61 % (2208517)Peak memory usage: 90 MB
% 6.12/1.61 % (2208517)Instructions burned: 118 (million)
% 6.12/1.61 % (2208516)Instruction limit reached!
% 6.12/1.61 % (2208516)------------------------------
% 6.12/1.61 % (2208516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208516)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208516)Termination reason: Instruction limit
% 6.12/1.61 % (2208516)Termination phase: Saturation
% 6.12/1.61 % (2208516)Time elapsed: 0.104 s
% 6.12/1.61 % (2208516)Peak memory usage: 90 MB
% 6.12/1.61 % (2208516)Instructions burned: 181 (million)
% 6.12/1.61 % (2208526)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3231932469: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)
% 6.12/1.61 % (2208525)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=1013296511:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.12/1.61 % (2208527)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=436254249:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.12/1.61 % (2208525)Refutation not found, incomplete strategy
% 6.12/1.61 % (2208525)------------------------------
% 6.12/1.61 % (2208525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208525)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208525)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.61 % (2208525)Time elapsed: 0.019 s
% 6.12/1.61 % (2208525)Peak memory usage: 89 MB
% 6.12/1.61 % (2208525)Instructions burned: 33 (million)
% 6.12/1.61 % (2208528)lrs+10_64_to=lpo:sil=8000:random_seed=3910448130:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.12/1.61 % (2208527)Refutation not found, incomplete strategy
% 6.12/1.61 % (2208527)------------------------------
% 6.12/1.61 % (2208527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208527)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208527)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.61 % (2208527)Time elapsed: 0.031 s
% 6.12/1.61 % (2208527)Peak memory usage: 90 MB
% 6.12/1.61 % (2208527)Instructions burned: 57 (million)
% 6.12/1.61 % (2208526)Instruction limit reached!
% 6.12/1.61 % (2208526)------------------------------
% 6.12/1.61 % (2208526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208526)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208526)Termination reason: Instruction limit
% 6.12/1.61 % (2208526)Termination phase: Saturation
% 6.12/1.61 % (2208526)Time elapsed: 0.092 s
% 6.12/1.61 % (2208526)Peak memory usage: 90 MB
% 6.12/1.61 % (2208526)Instructions burned: 192 (million)
% 6.12/1.61 % (2208528)Instruction limit reached!
% 6.12/1.61 % (2208528)------------------------------
% 6.12/1.61 % (2208528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208528)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208528)Termination reason: Instruction limit
% 6.12/1.61 % (2208528)Termination phase: Saturation
% 6.12/1.61 % (2208528)Time elapsed: 0.077 s
% 6.12/1.61 % (2208528)Peak memory usage: 90 MB
% 6.12/1.61 % (2208528)Instructions burned: 126 (million)
% 6.12/1.61 % (2208534)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3583110153:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.12/1.61 % (2208525)------------------------------
% 6.12/1.61 % (2208525)------------------------------
% 6.12/1.61 % (2208535)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2491695481:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.12/1.61 % (2208513)First to succeed.
% 6.12/1.61 % (2208513)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2208506"
% 6.12/1.61 % (2208527)------------------------------
% 6.12/1.61 % (2208527)------------------------------
% 6.12/1.61 % (2208534)Instruction limit reached!
% 6.12/1.61 % (2208534)------------------------------
% 6.12/1.61 % (2208534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208534)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208534)Termination reason: Instruction limit
% 6.12/1.61 % (2208534)Termination phase: Saturation
% 6.12/1.61 % (2208534)Time elapsed: 0.124 s
% 6.12/1.61 % (2208534)Peak memory usage: 91 MB
% 6.12/1.61 % (2208534)Instructions burned: 195 (million)
% 6.12/1.61 % (2208535)Instruction limit reached!
% 6.12/1.61 % (2208535)------------------------------
% 6.12/1.61 % (2208535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208535)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208535)Termination reason: Instruction limit
% 6.12/1.61 % (2208535)Termination phase: Saturation
% 6.12/1.61 % (2208535)Time elapsed: 0.088 s
% 6.12/1.61 % (2208535)Peak memory usage: 91 MB
% 6.12/1.61 % (2208535)Instructions burned: 157 (million)
% 6.12/1.61 % (2208538)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1914575696:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.12/1.61 % (2208539)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=422683517:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.12/1.61 % (2208513)Refutation found. Thanks to Tanya!
% 6.12/1.61 % SZS status Unsatisfiable for theBenchmark
% 6.12/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 6.12/1.61 % (2208513)------------------------------
% 6.12/1.61 % (2208513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.61 % (2208513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.61 % (2208513)CaDiCaL version: 2.1.3
% 6.12/1.61 % (2208513)Termination reason: Refutation
% 6.12/1.61 % (2208513)Time elapsed: 0.510 s
% 6.12/1.61 % (2208513)Peak memory usage: 137 MB
% 6.12/1.61 % (2208513)Instructions burned: 1406 (million)
% 6.12/1.61 % (2208513)------------------------------
% 6.12/1.61 % (2208513)------------------------------
% 6.12/1.61 % (2208506)Success in time 0.832 s
% 6.12/1.61 % Vampire exiting
%------------------------------------------------------------------------------