TSTP Solution File: LCL434-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL434-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:42:30 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 33 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(avatar_sat_refutation,[],[f17,f21,f26]) ).
fof(f26,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f25,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f23,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).
fof(f23,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pa,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ spl0_1 ),
inference(superposition,[],[f2,f12]) ).
fof(f12,plain,
( v_pa = v_p
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f10,plain,
( spl0_1
<=> v_pa = v_p ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2,axiom,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f21,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f20]) ).
fof(f20,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f19,f16]) ).
fof(f16,plain,
( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl0_2
<=> c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f19,plain,
~ c_in(v_pa,v_H,tc_PropLog_Opl(t_a)),
inference(resolution,[],[f18,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
fof(f18,plain,
~ c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f5,f2]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
fof(f17,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f14,f10]) ).
fof(f8,plain,
( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
| v_pa = v_p ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f6,axiom,
! [X2,X6,X4,X5] :
( ~ c_in(X4,c_insert(X5,X6,X2),X2)
| X4 = X5
| c_in(X4,X6,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL434-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 01:53:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (16043)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.48 % (16058)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.49 % (16043)Instruction limit reached!
% 0.19/0.49 % (16043)------------------------------
% 0.19/0.49 % (16043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (16036)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.49 % (16052)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.49 % (16043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (16043)Termination reason: Unknown
% 0.19/0.49 % (16043)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (16043)Memory used [KB]: 5756
% 0.19/0.49 % (16043)Time elapsed: 0.097 s
% 0.19/0.49 % (16043)Instructions burned: 3 (million)
% 0.19/0.49 % (16043)------------------------------
% 0.19/0.49 % (16043)------------------------------
% 0.19/0.50 % (16052)First to succeed.
% 0.19/0.50 % (16047)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.50 % (16048)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (16052)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (16052)------------------------------
% 0.19/0.50 % (16052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16052)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (16052)Memory used [KB]: 5756
% 0.19/0.50 % (16052)Time elapsed: 0.108 s
% 0.19/0.50 % (16052)Instructions burned: 2 (million)
% 0.19/0.50 % (16052)------------------------------
% 0.19/0.50 % (16052)------------------------------
% 0.19/0.50 % (16034)Success in time 0.159 s
%------------------------------------------------------------------------------