%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL431-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:52:23 AM UTC 2026
% Result : Unsatisfiable 8.84s 2.47s
% Output : Refutation 8.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 7 unt; 0 def)
% Number of atoms : 9 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1928,axiom,
! [X0,X1] : c_minus(X0,X0,tc_set(X1)) = c_emptyset,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiff__cancel_0) ).
fof(f1929,plain,
! [X0,X1] : c_emptyset = c_minus(X0,X0,tc_set(X1)),
inference(reorient_equations,[],[f1928]) ).
fof(f3309,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X2,X1),c_PropLog_Ohyps(X0,X3,X1),tc_set(tc_PropLog_Opl(X1))),X1),tc_PropLog_Opl(X1))
| ~ c_PropLog_Osat(c_emptyset,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0__lemma__dest_0) ).
fof(f3338,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_p,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3339,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3360,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_PropLog_Ohyps(v_p,X1,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(unit_resulting_resolution,[],[f3309,f3338]) ).
fof(f3423,plain,
c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(superposition,[],[f3360,f1929]) ).
fof(f3426,plain,
$false,
inference(forward_subsumption_resolution,[],[f3423,f3339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL431-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n015.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 15:46:01 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.47 Running first-order theorem proving
% 0.22/0.48 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
% 8.84/2.47 % (1809498)Input is clausal, will run a generic CNF schedule.
% 8.84/2.47 % (1809505)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=530816782:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.84/2.47 % (1809506)lrs+10_1_sil=8000:sp=occurrence:random_seed=938315930:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.84/2.47 % (1809504)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2365350941:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.84/2.47 % (1809503)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=835273628:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.84/2.47 % (1809506)Instruction limit reached!
% 8.84/2.47 % (1809506)------------------------------
% 8.84/2.47 % (1809506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.47 % (1809506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.47 % (1809506)CaDiCaL version: 2.1.3
% 8.84/2.47 % (1809506)Termination reason: Instruction limit
% 8.84/2.47 % (1809506)Termination phase: Saturation
% 8.84/2.47 % (1809506)Time elapsed: 0.107 s
% 8.84/2.47 % (1809506)Peak memory usage: 91 MB
% 8.84/2.47 % (1809506)Instructions burned: 108 (million)
% 8.84/2.47 % (1809507)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1858698261:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.84/2.47 % (1809508)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3551142933:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.84/2.47 % (1809509)dis-21_1_sil=8000:lcm=predicate:random_seed=2038875704: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)
% 8.84/2.47 % (1809507)Instruction limit reached!
% 8.84/2.47 % (1809507)------------------------------
% 8.84/2.47 % (1809507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.47 % (1809507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.47 % (1809507)CaDiCaL version: 2.1.3
% 8.84/2.47 % (1809507)Termination reason: Instruction limit
% 8.84/2.47 % (1809507)Termination phase: Saturation
% 8.84/2.47 % (1809507)Time elapsed: 0.119 s
% 8.84/2.47 % (1809507)Peak memory usage: 90 MB
% 8.84/2.47 % (1809507)Instructions burned: 114 (million)
% 8.84/2.47 % (1809509)Instruction limit reached!
% 8.84/2.47 % (1809509)------------------------------
% 8.84/2.47 % (1809509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.47 % (1809509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.47 % (1809509)CaDiCaL version: 2.1.3
% 8.84/2.47 % (1809509)Termination reason: Instruction limit
% 8.84/2.47 % (1809509)Termination phase: Saturation
% 8.84/2.47 % (1809509)Time elapsed: 0.110 s
% 8.84/2.47 % (1809509)Peak memory usage: 90 MB
% 8.84/2.47 % (1809509)Instructions burned: 117 (million)
% 8.84/2.47 % (1809508)Instruction limit reached!
% 8.84/2.47 % (1809508)------------------------------
% 8.84/2.47 % (1809508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.47 % (1809508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.47 % (1809508)CaDiCaL version: 2.1.3
% 8.84/2.47 % (1809508)Termination reason: Instruction limit
% 8.84/2.47 % (1809508)Termination phase: Saturation
% 8.84/2.47 % (1809508)Time elapsed: 0.187 s
% 8.84/2.47 % (1809508)Peak memory usage: 91 MB
% 8.84/2.47 % (1809508)Instructions burned: 181 (million)
% 8.84/2.47 % (1809515)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=349742019:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 8.84/2.47 % (1809515)Refutation not found, incomplete strategy
% 8.84/2.47 % (1809515)------------------------------
% 8.84/2.47 % (1809515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.47 % (1809515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.47 % (1809515)CaDiCaL version: 2.1.3
% 8.84/2.47 % (1809515)Termination reason: Refutation not found, incomplete strategy
% 8.84/2.47 % (1809515)Time elapsed: 0.017 s
% 8.84/2.47 % (1809515)Peak memory usage: 89 MB
% 8.84/2.47 % (1809515)Instructions burned: 14 (million)
% 8.84/2.47 % (1809519)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2660997449:st=4:i=219:sd=3:ss=axioms_2994 on theBenchmark for (2994ds/219Mi)
% 8.84/2.47 % (1809518)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1855946391:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 8.84/2.47 % (1809520)lrs+10_64_to=lpo:sil=8000:random_seed=1948359354:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 8.84/2.47 % (1809518)First to succeed.
% 8.84/2.47 % (1809518)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1809498"
% 8.84/2.47 % (1809519)Also succeeded, but the first one will report.
% 8.84/2.47 % (1809520)Instruction limit reached!
% 8.84/2.47 % (1809520)------------------------------
% 8.84/2.47 % (1809520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.47 % (1809520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.47 % (1809520)CaDiCaL version: 2.1.3
% 8.84/2.47 % (1809520)Termination reason: Instruction limit
% 8.84/2.47 % (1809520)Termination phase: Saturation
% 8.84/2.47 % (1809520)Time elapsed: 0.111 s
% 8.84/2.47 % (1809520)Peak memory usage: 91 MB
% 8.84/2.47 % (1809520)Instructions burned: 127 (million)
% 8.84/2.47 % (1809515)------------------------------
% 8.84/2.47 % (1809515)------------------------------
% 8.84/2.47 % (1809505)Also succeeded, but the first one will report.
% 8.84/2.47 % (1809525)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1462183137:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 8.84/2.47 % (1809518)Refutation found. Thanks to Tanya!
% 8.84/2.47 % SZS status Unsatisfiable for theBenchmark
% 8.84/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 8.84/2.47 % (1809518)------------------------------
% 8.84/2.47 % (1809518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.47 % (1809518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.47 % (1809518)CaDiCaL version: 2.1.3
% 8.84/2.47 % (1809518)Termination reason: Refutation
% 8.84/2.47 % (1809518)Time elapsed: 0.048 s
% 8.84/2.47 % (1809518)Peak memory usage: 91 MB
% 8.84/2.47 % (1809518)Instructions burned: 48 (million)
% 8.84/2.47 % (1809518)------------------------------
% 8.84/2.47 % (1809518)------------------------------
% 8.84/2.47 % (1809498)Success in time 1.214 s
% 8.84/2.47 % Vampire exiting
%------------------------------------------------------------------------------