%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PHI023+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 : 600s
% DateTime : Mon Jul 18 16:48:56 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 7 unt; 0 nHn; 16 RR)
% Number of literals : 26 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
god(skc1),
file('PHI023+1.p',unknown),
[] ).
cnf(2,axiom,
~ exists__dfg(skc1),
file('PHI023+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ inItself(u)
| selfCaused(u) ),
file('PHI023+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ being(u)
| hasEssence(u) ),
file('PHI023+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ selfCaused(u)
| essenceInvExistence(u) ),
file('PHI023+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ substance(u)
| inItself(u) ),
file('PHI023+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ god(u)
| being(u) ),
file('PHI023+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ god(u)
| absolutelyInfinite(u) ),
file('PHI023+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ absolutelyInfinite(u)
| substance(u) ),
file('PHI023+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ hasEssence(u)
| ~ essenceInvExistence(u)
| exists__dfg(u) ),
file('PHI023+1.p',unknown),
[] ).
cnf(58,plain,
being(skc1),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(59,plain,
absolutelyInfinite(skc1),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(61,plain,
( ~ hasEssence(skc1)
| ~ essenceInvExistence(skc1) ),
inference(res,[status(thm),theory(equality)],[32,2]),
[iquote('0:Res:32.2,2.0')] ).
cnf(78,plain,
~ essenceInvExistence(skc1),
inference(ssi,[status(thm)],[61,5,1,58,59]),
[iquote('0:SSi:61.0,5.0,1.0,58.0,59.1')] ).
cnf(91,plain,
~ selfCaused(skc1),
inference(sor,[status(thm)],[78,6]),
[iquote('0:SoR:78.0,6.1')] ).
cnf(92,plain,
$false,
inference(ssi,[status(thm)],[91,14,8,4,1,58,59]),
[iquote('0:SSi:91.0,14.0,8.0,4.0,1.1,58.1,59.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PHI023+1 : TPTP v8.1.0. Released v7.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.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 : 600
% 0.12/0.33 % DateTime : Thu Jun 2 01:28:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 29 clauses, backtracked 28 clauses, performed 2 splits and kept 114 clauses.
% 0.19/0.43 SPASS allocated 97699 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.43 0:00:00.03 for the input.
% 0.19/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.00 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 2, length 16 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : if_god_then_exists is_in_itself_is_self_caused being_has_essense self_caused substance god absolutely_infinite essence_involves_existence_exists
% 0.19/0.43
%------------------------------------------------------------------------------