%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL436-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 11:58:39 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1449,axiom,
! [X2,X3,X0,X1,X4] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).
fof(f1451,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
fof(f1452,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1781,plain,
! [X2,X3,X0,X1,X4] : ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
inference(consistent_polarity_flipping,[],[f1449]) ).
fof(f1783,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(consistent_polarity_flipping,[],[f1451]) ).
fof(f1784,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(consistent_polarity_flipping,[],[f1452]) ).
fof(f2772,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1783,f1784]) ).
fof(f3002,plain,
$false,
inference(backward_subsumption_resolution,[],[f2772,f1781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL436-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:46:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 % (1810454)Will run a generic schedule for satisfiability detection.
% 0.18/0.52 % (1810460)% WARNING: option uhcvi not known.
% 0.18/0.52 % (1810460)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3802013454:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.52 % (1810459)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=182240924_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.52 % (1810461)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2888026117:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.52 % (1810462)dis+10_1_sil=32000:sp=arity:random_seed=1398485368:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.52 % (1810463)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2291851712:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.52 % (1810464)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2587830169:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.52 % (1810465)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2658559272:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.52 % (1810460) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1810454-1810460"...
% 0.18/0.52 % (1810460)...printing done.
% 0.18/0.52 % (1810460)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (1810460)------------------------------
% 0.18/0.52 % (1810460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.52 % (1810460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.52 % (1810460)CaDiCaL version: 2.1.3
% 0.18/0.52 % (1810460)Termination reason: Refutation
% 0.18/0.52 % (1810460)Time elapsed: 0.031 s
% 0.18/0.52 % (1810460)Peak memory usage: 14 MB
% 0.18/0.52 % (1810460)Instructions burned: 83 (million)
% 0.18/0.52 % (1810454)Success in time 0.088 s
% 0.18/0.52 % Vampire exiting
%------------------------------------------------------------------------------