%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1.1
% Problem : LCL438-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 : Mon Sep 7 01:09:34 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.37s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 5
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
% FILE RECORD
cnf(cls_PropLog_Othms_OS_0,axiom,
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('theBenchmark.p',cls_PropLog_Othms_OS_0) ).
% FILE RECORD
cnf(cls_PropLog_Othms_OMP_0,axiom,
( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ 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('theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
% FILE RECORD
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('theBenchmark.p',cls_conjecture_1) ).
% FILE RECORD
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('theBenchmark.p',cls_conjecture_4) ).
% FILE RECORD
cnf(cls_conjecture_3,negated_conjecture,
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('theBenchmark.p',cls_conjecture_3) ).
% CNF SPASS RESOLUTION.
cnf(c_6,plain,
$false,
inference(resolution,[status(thm)],[cls_PropLog_Othms_OS_0,cls_PropLog_Othms_OMP_0,cls_PropLog_Othms_OMP_0,cls_conjecture_1,cls_conjecture_4,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL438-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n031.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 00:33:39 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37
% 0.14/0.37 % Input Clauses:
% 0.14/0.37 % 1:1:0:INP:: -> c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
% 0.14/0.37 % 2:1:0:INP:: -> 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))
% 0.14/0.37 % 3:1:0:INP:: c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ->
% 0.14/0.37 % 4:3:4:INP:TopTopTopTop: c_in(x0,c_PropLog_Othms(x1,x2),tc_PropLog_Opl(x2)),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))
% 0.14/0.37 % 5:1:5:INP:TopTopTopTopTop: -> 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))
% 0.14/0.37
% 0.14/0.37 % Predicates: c_in
% 0.14/0.37 % Fol Constants: v_p v_pa v_q t_a v_H
% 0.14/0.37 % Fol Functions: c_PropLog_Opl_Oop_A_N_62 c_PropLog_Othms tc_PropLog_Opl
% 0.14/0.37 % Problem Properties:
% 0.14/0.37 % This is a full first-order problem without equality. The Problem is non-linear.
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % Reduced Input Axiom Clauses:
% 0.14/0.37 % 4:3:4:INP:TopTopTopTop: c_in(x0,c_PropLog_Othms(x1,x2),tc_PropLog_Opl(x2)),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))
% 0.14/0.37 % 5:1:5:INP:TopTopTopTopTop: -> 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))
% 0.14/0.37
% 0.14/0.37 % Reduced Input Conjecture Clauses:
% 0.14/0.37 % 1:1:0:INP:: -> c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
% 0.14/0.37 % 2:1:0:INP:: -> 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))
% 0.14/0.37 % 3:1:0:INP:: c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ->
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % === Starting SPASS-SCL-FOL A Little Less Naive, considering 9 atoms initially. Used heuristic: lmodel_grow ===
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % SZS status Unsatisfiable
% 0.14/0.37 % Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37
% 0.14/0.37 % SPASS-SCL-FOL Statistics:
% 0.14/0.37 % Number of learned clauses: 0
% 0.14/0.37 % Number of propagations: 7
% 0.14/0.37 % Number of decisions: 2
% 0.14/0.37 % Number of resolutions: 5
% 0.14/0.37 % Number of condensations: 0
% 0.14/0.37 % Number of sub resolutions: 0
% 0.14/0.37
% 0.14/0.37 % Solver is done. Empty clause found
% 0.14/0.37
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % Needed: 0:00:00.00
% 0.14/0.37
% 0.14/0.37 % ###
% 0.14/0.37 % ### Pagesize: 8192
% 0.14/0.37 % ### Marksize: 0
% 0.14/0.37 % ### Memory demanded: 516 KBytes
% 0.14/0.37 % ### Memory freed: 516 KBytes
% 0.14/0.37 % ### Memory remaining: 0 Bytes
% 0.14/0.37 % ### Pages allocated: 120 Pages
% 0.14/0.37 % ###
%------------------------------------------------------------------------------