%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV650-1 : 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 : n005.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 01:19:11 PM UTC 2026
% Result : Unsatisfiable 8.26s 2.02s
% Output : Refutation 8.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 13 unt; 1 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1257,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(f1987,axiom,
! [X0] : X0 != hAPP(c_Suc,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).
fof(f1988,plain,
! [X0] : hAPP(c_Suc,X0) != X0,
inference(reorient_equations,[],[f1987]) ).
fof(f2296,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(f2298,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(f2305,definition,
sF2 = c_HOL_Otimes__class_Otimes(tc_nat),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f2306,plain,
c_HOL_Otimes__class_Otimes(tc_nat) = sF2,
inference(reorient_equations,[],[f2305]) ).
fof(f2499,plain,
! [X0] : hAPP(hAPP(sF2,c_HOL_Oone__class_Oone(tc_nat)),X0) = X0,
inference(backward_demodulation,[],[f1257,f2306]) ).
fof(f3435,plain,
! [X2,X3,X0,X1,X4] : hAPP(X0,X4) != hAPP(c_COMBB(c_Suc,X0,X1,X2,X3),X4),
inference(superposition,[],[f1988,f2298]) ).
fof(f3485,plain,
! [X2,X3,X0,X1,X4] : hAPP(c_COMBS(hAPP(sF2,c_HOL_Oone__class_Oone(tc_nat)),X1,X2,X3,X4),X0) = hAPP(X0,hAPP(X1,X0)),
inference(superposition,[],[f2296,f2499]) ).
fof(f4417,plain,
! [X2,X3,X0,X1] : hAPP(X0,X0) = hAPP(c_COMBS(hAPP(sF2,c_HOL_Oone__class_Oone(tc_nat)),hAPP(sF2,c_HOL_Oone__class_Oone(tc_nat)),X1,X2,X3),X0),
inference(superposition,[],[f3485,f2499]) ).
fof(f4588,plain,
! [X2,X3,X0,X1,X6,X4,X5] : hAPP(c_COMBS(hAPP(sF2,c_HOL_Oone__class_Oone(tc_nat)),hAPP(sF2,c_HOL_Oone__class_Oone(tc_nat)),X0,X1,X2),c_COMBB(c_Suc,X3,X4,X5,X6)) != hAPP(X3,c_COMBB(c_Suc,X3,X4,X5,X6)),
inference(superposition,[],[f3435,f4417]) ).
fof(f4690,plain,
$false,
inference(equality_resolution,[],[f4588]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV650-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n005.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 12:09:16 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 6.70/1.83 % (746161)Input is clausal, will run a generic CNF schedule.
% 6.70/1.83 % (746168)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3457789024:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.70/1.83 % (746167)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3475080183:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.70/1.83 % (746166)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=105266128:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.70/1.83 % (746169)lrs+10_1_sil=8000:sp=occurrence:random_seed=1533591749:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.70/1.83 % (746171)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1370548387:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.70/1.83 % (746170)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2062762144:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.70/1.83 % (746172)dis-21_1_sil=8000:lcm=predicate:random_seed=84865918: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)
% 6.70/1.83 % (746172)Instruction limit reached!
% 6.70/1.83 % (746172)------------------------------
% 6.70/1.83 % (746172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/1.83 % (746172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.83 % (746172)CaDiCaL version: 2.1.3
% 6.70/1.83 % (746172)Termination reason: Instruction limit
% 6.70/1.83 % (746172)Termination phase: Saturation
% 6.70/1.83 % (746172)Time elapsed: 0.062 s
% 6.70/1.83 % (746172)Peak memory usage: 90 MB
% 6.70/1.83 % (746172)Instructions burned: 118 (million)
% 6.70/1.83 % (746170)Instruction limit reached!
% 6.70/1.83 % (746170)------------------------------
% 6.70/1.83 % (746170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/1.83 % (746170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.83 % (746170)CaDiCaL version: 2.1.3
% 6.70/1.83 % (746170)Termination reason: Instruction limit
% 6.70/1.83 % (746170)Termination phase: Saturation
% 6.70/1.83 % (746170)Time elapsed: 0.069 s
% 6.70/1.83 % (746170)Peak memory usage: 90 MB
% 6.70/1.83 % (746170)Instructions burned: 115 (million)
% 6.70/1.83 % (746169)Instruction limit reached!
% 6.70/1.83 % (746169)------------------------------
% 6.70/1.83 % (746169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/1.83 % (746169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.83 % (746169)CaDiCaL version: 2.1.3
% 6.70/1.83 % (746169)Termination reason: Instruction limit
% 6.70/1.83 % (746169)Termination phase: Saturation
% 6.70/1.83 % (746169)Time elapsed: 0.069 s
% 6.70/1.83 % (746169)Peak memory usage: 90 MB
% 6.70/1.83 % (746169)Instructions burned: 110 (million)
% 6.70/1.83 % (746171)Instruction limit reached!
% 6.70/1.83 % (746171)------------------------------
% 6.70/1.83 % (746171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/1.83 % (746171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.83 % (746171)CaDiCaL version: 2.1.3
% 6.70/1.83 % (746171)Termination reason: Instruction limit
% 6.70/1.83 % (746171)Termination phase: Saturation
% 6.70/1.83 % (746171)Time elapsed: 0.099 s
% 6.70/1.83 % (746171)Peak memory usage: 90 MB
% 6.70/1.83 % (746171)Instructions burned: 180 (million)
% 6.70/1.83 % (746182)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3970025201:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.70/1.83 % (746181)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1389968792:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 6.70/1.83 % (746180)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=809953173:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 6.70/1.83 % (746180)Refutation not found, incomplete strategy
% 6.70/1.83 % (746180)------------------------------
% 6.70/1.83 % (746180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/1.83 % (746180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (746180)CaDiCaL version: 2.1.3
% 8.26/2.02 % (746180)Termination reason: Refutation not found, incomplete strategy
% 8.26/2.02 % (746180)Time elapsed: 0.028 s
% 8.26/2.02 % (746180)Peak memory usage: 90 MB
% 8.26/2.02 % (746180)Instructions burned: 46 (million)
% 8.26/2.02 % (746183)lrs+10_64_to=lpo:sil=8000:random_seed=3869392287:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.26/2.02 % (746181)Instruction limit reached!
% 8.26/2.02 % (746181)------------------------------
% 8.26/2.02 % (746181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.02 % (746181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (746181)CaDiCaL version: 2.1.3
% 8.26/2.02 % (746181)Termination reason: Instruction limit
% 8.26/2.02 % (746181)Termination phase: Saturation
% 8.26/2.02 % (746181)Time elapsed: 0.104 s
% 8.26/2.02 % (746181)Peak memory usage: 91 MB
% 8.26/2.02 % (746181)Instructions burned: 191 (million)
% 8.26/2.02 % (746183)Instruction limit reached!
% 8.26/2.02 % (746183)------------------------------
% 8.26/2.02 % (746183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.02 % (746183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (746183)CaDiCaL version: 2.1.3
% 8.26/2.02 % (746183)Termination reason: Instruction limit
% 8.26/2.02 % (746183)Termination phase: Saturation
% 8.26/2.02 % (746183)Time elapsed: 0.075 s
% 8.26/2.02 % (746183)Peak memory usage: 90 MB
% 8.26/2.02 % (746183)Instructions burned: 126 (million)
% 8.26/2.02 % (746182)Instruction limit reached!
% 8.26/2.02 % (746182)------------------------------
% 8.26/2.02 % (746182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.02 % (746182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (746182)CaDiCaL version: 2.1.3
% 8.26/2.02 % (746182)Termination reason: Instruction limit
% 8.26/2.02 % (746182)Termination phase: Saturation
% 8.26/2.02 % (746182)Time elapsed: 0.112 s
% 8.26/2.02 % (746182)Peak memory usage: 92 MB
% 8.26/2.02 % (746182)Instructions burned: 219 (million)
% 8.26/2.02 % (746180)------------------------------
% 8.26/2.02 % (746180)------------------------------
% 8.26/2.02 % (746189)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=215137624:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.26/2.02 % (746188)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1536032587:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.26/2.02 % (746190)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2463608505:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.26/2.02 % (746189)Instruction limit reached!
% 8.26/2.02 % (746189)------------------------------
% 8.26/2.02 % (746189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.02 % (746189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (746189)CaDiCaL version: 2.1.3
% 8.26/2.02 % (746189)Termination reason: Instruction limit
% 8.26/2.02 % (746189)Termination phase: Saturation
% 8.26/2.02 % (746189)Time elapsed: 0.072 s
% 8.26/2.02 % (746189)Peak memory usage: 90 MB
% 8.26/2.02 % (746189)Instructions burned: 158 (million)
% 8.26/2.02 % (746188)Instruction limit reached!
% 8.26/2.02 % (746188)------------------------------
% 8.26/2.02 % (746188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.02 % (746188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (746188)CaDiCaL version: 2.1.3
% 8.26/2.02 % (746188)Termination reason: Instruction limit
% 8.26/2.02 % (746188)Termination phase: Saturation
% 8.26/2.02 % (746188)Time elapsed: 0.120 s
% 8.26/2.02 % (746188)Peak memory usage: 91 MB
% 8.26/2.02 % (746188)Instructions burned: 196 (million)
% 8.26/2.02 % (746194)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=1302290768:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 8.26/2.02 % (746194)Instruction limit reached!
% 8.26/2.02 % (746194)------------------------------
% 8.26/2.02 % (746194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.02 % (746194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (746194)CaDiCaL version: 2.1.3
% 8.26/2.02 % (746194)Termination reason: Instruction limit
% 8.26/2.02 % (746194)Termination phase: Saturation
% 8.26/2.02 % (746194)Time elapsed: 0.057 s
% 8.26/2.02 % (746194)Peak memory usage: 90 MB
% 8.26/2.02 % (746194)Instructions burned: 106 (million)
% 8.26/2.02 % (746195)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1694104944:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 8.26/2.02 % (746168)First to succeed.
% 8.26/2.02 % (746168)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-746161"
% 8.26/2.02 % (746196)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2602597900:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.26/2.02 % (746195)Refutation not found, incomplete strategy
% 8.26/2.02 % (746195)------------------------------
% 8.26/2.02 % (746195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.02 % (746195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (746195)CaDiCaL version: 2.1.3
% 8.26/2.02 % (746195)Termination reason: Refutation not found, incomplete strategy
% 8.26/2.02 % (746195)Time elapsed: 0.036 s
% 8.26/2.02 % (746195)Peak memory usage: 90 MB
% 8.26/2.02 % (746195)Instructions burned: 55 (million)
% 8.26/2.02 % (746198)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1579944192:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 8.26/2.02 % (746196)Instruction limit reached!
% 8.26/2.02 % (746196)------------------------------
% 8.26/2.02 % (746196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.02 % (746196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (746196)CaDiCaL version: 2.1.3
% 8.26/2.02 % (746196)Termination reason: Instruction limit
% 8.26/2.02 % (746196)Termination phase: Saturation
% 8.26/2.02 % (746196)Time elapsed: 0.120 s
% 8.26/2.02 % (746196)Peak memory usage: 90 MB
% 8.26/2.02 % (746196)Instructions burned: 243 (million)
% 8.26/2.02 % (746168)Refutation found. Thanks to Tanya!
% 8.26/2.02 % SZS status Unsatisfiable for theBenchmark
% 8.26/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 8.26/2.02 % (746168)------------------------------
% 8.26/2.02 % (746168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.02 % (746168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.02 % (746168)CaDiCaL version: 2.1.3
% 8.26/2.02 % (746168)Termination reason: Refutation
% 8.26/2.02 % (746168)Time elapsed: 0.788 s
% 8.26/2.02 % (746168)Peak memory usage: 152 MB
% 8.26/2.02 % (746168)Instructions burned: 2373 (million)
% 8.26/2.02 % (746168)------------------------------
% 8.26/2.02 % (746168)------------------------------
% 8.26/2.02 % (746161)Success in time 1.172 s
% 8.26/2.02 % Vampire exiting
%------------------------------------------------------------------------------