%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT096-1 : 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 : 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 12:36:55 PM UTC 2026
% Result : Unsatisfiable 6.47s 1.93s
% Output : Refutation 6.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 9 unt; 2 def)
% Number of atoms : 37 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-5 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f351,axiom,
! [X0,X1] : hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__complement_0) ).
fof(f376,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2)))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplI_0) ).
fof(f377,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplD_0) ).
fof(f877,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f878,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f961,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(f993,definition,
sF1 = c_in(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f994,plain,
c_in(sF0) = sF1,
inference(reorient_equations,[],[f993]) ).
fof(f999,definition,
sF4 = tc_fun(sF0,tc_bool),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1000,plain,
tc_fun(sF0,tc_bool) = sF4,
inference(reorient_equations,[],[f999]) ).
fof(f1660,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X2),X1)) ),
inference(resolution,[],[f877,f377]) ).
fof(f1663,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X0)))
| ~ hBOOL(hAPP(X0,X2)) ),
inference(superposition,[],[f1660,f351]) ).
fof(f1677,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(c_COMBS(c_in(X0),c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1,X2,X3),X4))
| ~ hBOOL(hAPP(X4,X4)) ),
inference(superposition,[],[f1663,f961]) ).
fof(f1750,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_COMBS(c_in(sF0),c_HOL_Ouminus__class_Ouminus(sF4),X0,X1,X2),X3))
| ~ hBOOL(hAPP(X3,X3)) ),
inference(superposition,[],[f1677,f1000]) ).
fof(f1752,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_COMBS(sF1,c_HOL_Ouminus__class_Ouminus(sF4),X0,X1,X2),X3))
| ~ hBOOL(hAPP(X3,X3)) ),
inference(forward_demodulation,[],[f1750,f994]) ).
fof(f1773,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1),X2))
| hBOOL(hAPP(hAPP(c_in(X0),X2),X1)) ),
inference(resolution,[],[f878,f376]) ).
fof(f1787,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X0)))
| hBOOL(hAPP(X0,X2)) ),
inference(superposition,[],[f1773,f351]) ).
fof(f1798,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(c_COMBS(c_in(X0),c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1,X2,X3),X4))
| hBOOL(hAPP(X4,X4)) ),
inference(superposition,[],[f1787,f961]) ).
fof(f1808,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_COMBS(c_in(sF0),c_HOL_Ouminus__class_Ouminus(sF4),X0,X1,X2),X3))
| hBOOL(hAPP(X3,X3)) ),
inference(superposition,[],[f1798,f1000]) ).
fof(f1810,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_COMBS(sF1,c_HOL_Ouminus__class_Ouminus(sF4),X0,X1,X2),X3))
| hBOOL(hAPP(X3,X3)) ),
inference(forward_demodulation,[],[f1808,f994]) ).
fof(f1814,plain,
! [X2,X0,X1] : hBOOL(hAPP(c_COMBS(sF1,c_HOL_Ouminus__class_Ouminus(sF4),X0,X1,X2),c_COMBS(sF1,c_HOL_Ouminus__class_Ouminus(sF4),X0,X1,X2))),
inference(factoring,[],[f1810]) ).
fof(f1994,plain,
! [X2,X0,X1] : ~ hBOOL(hAPP(c_COMBS(sF1,c_HOL_Ouminus__class_Ouminus(sF4),X0,X1,X2),c_COMBS(sF1,c_HOL_Ouminus__class_Ouminus(sF4),X0,X1,X2))),
inference(resolution,[],[f1814,f1752]) ).
fof(f1996,plain,
$false,
inference(forward_subsumption_resolution,[],[f1994,f1814]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT096-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n009.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:41:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 5.59/1.73 % (2529452)Input is clausal, will run a generic CNF schedule.
% 5.59/1.73 % (2529459)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3644283132:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.59/1.73 % (2529460)lrs+10_1_sil=8000:sp=occurrence:random_seed=1506919025:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.59/1.73 % (2529457)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=3433703043:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.59/1.73 % (2529461)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2253835828:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.59/1.73 % (2529462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3087746904:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.59/1.73 % (2529458)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2635733495:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.59/1.73 % (2529463)dis-21_1_sil=8000:lcm=predicate:random_seed=2152229212: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)
% 5.59/1.73 % (2529463)Instruction limit reached!
% 5.59/1.73 % (2529463)------------------------------
% 5.59/1.73 % (2529463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.73 % (2529463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.73 % (2529463)CaDiCaL version: 2.1.3
% 5.59/1.73 % (2529463)Termination reason: Instruction limit
% 5.59/1.73 % (2529463)Termination phase: Saturation
% 5.59/1.73 % (2529463)Time elapsed: 0.064 s
% 5.59/1.73 % (2529463)Peak memory usage: 89 MB
% 5.59/1.73 % (2529463)Instructions burned: 118 (million)
% 5.59/1.73 % (2529460)Instruction limit reached!
% 5.59/1.73 % (2529460)------------------------------
% 5.59/1.73 % (2529460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.73 % (2529460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.73 % (2529460)CaDiCaL version: 2.1.3
% 5.59/1.73 % (2529460)Termination reason: Instruction limit
% 5.59/1.73 % (2529460)Termination phase: Saturation
% 5.59/1.73 % (2529460)Time elapsed: 0.068 s
% 5.59/1.73 % (2529460)Peak memory usage: 89 MB
% 5.59/1.73 % (2529460)Instructions burned: 108 (million)
% 5.59/1.73 % (2529461)Instruction limit reached!
% 5.59/1.73 % (2529461)------------------------------
% 5.59/1.73 % (2529461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.73 % (2529461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.73 % (2529461)CaDiCaL version: 2.1.3
% 5.59/1.73 % (2529461)Termination reason: Instruction limit
% 5.59/1.73 % (2529461)Termination phase: Saturation
% 5.59/1.73 % (2529461)Time elapsed: 0.076 s
% 5.59/1.73 % (2529461)Peak memory usage: 89 MB
% 5.59/1.73 % (2529461)Instructions burned: 115 (million)
% 5.59/1.73 % (2529462)Instruction limit reached!
% 5.59/1.73 % (2529462)------------------------------
% 5.59/1.73 % (2529462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.73 % (2529462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.73 % (2529462)CaDiCaL version: 2.1.3
% 5.59/1.73 % (2529462)Termination reason: Instruction limit
% 5.59/1.73 % (2529462)Termination phase: Saturation
% 5.59/1.73 % (2529462)Time elapsed: 0.107 s
% 5.59/1.73 % (2529462)Peak memory usage: 90 MB
% 5.59/1.73 % (2529462)Instructions burned: 180 (million)
% 5.59/1.73 % (2529472)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3951194371: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)
% 5.59/1.73 % (2529471)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=3271030919:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.59/1.73 % (2529471)Refutation not found, incomplete strategy
% 5.59/1.73 % (2529471)------------------------------
% 5.59/1.73 % (2529471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.73 % (2529471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.73 % (2529471)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2529471)Termination reason: Refutation not found, incomplete strategy
% 6.47/1.93 % (2529471)Time elapsed: 0.014 s
% 6.47/1.93 % (2529471)Peak memory usage: 89 MB
% 6.47/1.93 % (2529471)Instructions burned: 23 (million)
% 6.47/1.93 % (2529473)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=924371356:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.47/1.93 % (2529474)lrs+10_64_to=lpo:sil=8000:random_seed=4023761494:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.47/1.93 % (2529472)Instruction limit reached!
% 6.47/1.93 % (2529472)------------------------------
% 6.47/1.93 % (2529472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2529472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2529472)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2529472)Termination reason: Instruction limit
% 6.47/1.93 % (2529472)Termination phase: Saturation
% 6.47/1.93 % (2529472)Time elapsed: 0.098 s
% 6.47/1.93 % (2529472)Peak memory usage: 91 MB
% 6.47/1.93 % (2529472)Instructions burned: 190 (million)
% 6.47/1.93 % (2529473)Instruction limit reached!
% 6.47/1.93 % (2529473)------------------------------
% 6.47/1.93 % (2529473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2529473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2529473)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2529473)Termination reason: Instruction limit
% 6.47/1.93 % (2529473)Termination phase: Saturation
% 6.47/1.93 % (2529473)Time elapsed: 0.116 s
% 6.47/1.93 % (2529473)Peak memory usage: 90 MB
% 6.47/1.93 % (2529473)Instructions burned: 220 (million)
% 6.47/1.93 % (2529474)Instruction limit reached!
% 6.47/1.93 % (2529474)------------------------------
% 6.47/1.93 % (2529474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2529474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2529474)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2529474)Termination reason: Instruction limit
% 6.47/1.93 % (2529474)Termination phase: Saturation
% 6.47/1.93 % (2529474)Time elapsed: 0.076 s
% 6.47/1.93 % (2529474)Peak memory usage: 90 MB
% 6.47/1.93 % (2529474)Instructions burned: 128 (million)
% 6.47/1.93 % (2529479)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2642770892:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.47/1.93 % (2529471)------------------------------
% 6.47/1.93 % (2529471)------------------------------
% 6.47/1.93 % (2529459)First to succeed.
% 6.47/1.93 % (2529459)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2529452"
% 6.47/1.93 % (2529480)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1273019716:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.47/1.93 % (2529481)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2393284507:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.47/1.93 % (2529479)Instruction limit reached!
% 6.47/1.93 % (2529479)------------------------------
% 6.47/1.93 % (2529479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2529479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2529479)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2529479)Termination reason: Instruction limit
% 6.47/1.93 % (2529479)Termination phase: Saturation
% 6.47/1.93 % (2529479)Time elapsed: 0.121 s
% 6.47/1.93 % (2529479)Peak memory usage: 90 MB
% 6.47/1.93 % (2529479)Instructions burned: 195 (million)
% 6.47/1.93 % (2529480)Instruction limit reached!
% 6.47/1.93 % (2529480)------------------------------
% 6.47/1.93 % (2529480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2529480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2529480)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2529480)Termination reason: Instruction limit
% 6.47/1.93 % (2529480)Termination phase: Saturation
% 6.47/1.93 % (2529480)Time elapsed: 0.093 s
% 6.47/1.93 % (2529480)Peak memory usage: 91 MB
% 6.47/1.93 % (2529480)Instructions burned: 157 (million)
% 6.47/1.93 % (2529483)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=3052792073:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.47/1.93 % (2529459)Refutation found. Thanks to Tanya!
% 6.47/1.93 % SZS status Unsatisfiable for theBenchmark
% 6.47/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 6.47/1.93 % (2529459)------------------------------
% 6.47/1.93 % (2529459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2529459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2529459)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2529459)Termination reason: Refutation
% 6.47/1.93 % (2529459)Time elapsed: 0.515 s
% 6.47/1.93 % (2529459)Peak memory usage: 139 MB
% 6.47/1.93 % (2529459)Instructions burned: 1508 (million)
% 6.47/1.93 % (2529459)------------------------------
% 6.47/1.93 % (2529459)------------------------------
% 6.47/1.93 % (2529452)Success in time 0.869 s
% 6.47/1.93 % Vampire exiting
%------------------------------------------------------------------------------