%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1.1
% Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 01:09:30 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 4 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
% FILE RECORD
cnf(thm147_1,negated_conjecture,
( ~ a_truth(X0)
| ~ a_truth(implies(X0,X1))
| a_truth(X1) ),
file('theBenchmark.p',thm147_1) ).
% FILE RECORD
cnf(thm147_3,negated_conjecture,
a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('theBenchmark.p',thm147_3) ).
% CNF SPASS RESOLUTION.
cnf(c_6,plain,
( ~ a_truth(implies(X0,implies(X1,X2)))
| a_truth(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[thm147_1,thm147_3]) ).
% FILE RECORD
cnf(thm147_5,negated_conjecture,
~ a_truth(implies(sk1,sk1)),
file('theBenchmark.p',thm147_5) ).
% FILE RECORD
cnf(thm147_2,negated_conjecture,
a_truth(implies(X0,implies(X1,X0))),
file('theBenchmark.p',thm147_2) ).
% CNF SPASS RESOLUTION.
cnf(c_7,plain,
$false,
inference(resolution,[status(thm)],[thm147_1,c_6,thm147_5,thm147_2,thm147_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 4 20:12:35 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39
% 0.13/0.39 % Input Clauses:
% 0.13/0.39 % 1:3:2:INP:TopTop: a_truth(x0),a_truth(implies(x0,x1)) -> a_truth(x1)
% 0.13/0.39 % 2:1:2:INP:TopTop: -> a_truth(implies(x0,implies(x1,x0)))
% 0.13/0.39 % 3:1:3:INP:TopTopTop: -> a_truth(implies(implies(x0,implies(x1,x2)),implies(implies(x0,x1),implies(x0,x2))))
% 0.13/0.39 % 4:1:2:INP:TopTop: -> a_truth(implies(implies(not(x0),not(x1)),implies(x1,x0)))
% 0.13/0.39 % 5:1:0:INP:: a_truth(implies(sk1,sk1)) ->
% 0.13/0.39
% 0.13/0.39 % Predicates: a_truth
% 0.13/0.39 % Fol Constants: sk1
% 0.13/0.39 % Fol Functions: implies not
% 0.13/0.39 % Problem Properties:
% 0.13/0.39 % This is a full first-order problem without equality. The Problem is non-linear.
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % Reduced Input Axiom Clauses:
% 0.13/0.39
% 0.13/0.39 % Reduced Input Conjecture Clauses:
% 0.13/0.39 % 1:3:2:INP:TopTop: a_truth(x0),a_truth(implies(x0,x1)) -> a_truth(x1)
% 0.13/0.39 % 2:1:2:INP:TopTop: -> a_truth(implies(x0,implies(x1,x0)))
% 0.13/0.39 % 3:1:3:INP:TopTopTop: -> a_truth(implies(implies(x0,implies(x1,x2)),implies(implies(x0,x1),implies(x0,x2))))
% 0.13/0.39 % 4:1:2:INP:TopTop: -> a_truth(implies(implies(not(x0),not(x1)),implies(x1,x0)))
% 0.13/0.39 % 5:1:0:INP:: a_truth(implies(sk1,sk1)) ->
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % === Starting SPASS-SCL-FOL A Little Less Naive, considering 75 atoms initially. Used heuristic: lcl ===
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % SZS status Unsatisfiable
% 0.13/0.39 % Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39
% 0.13/0.39 % SPASS-SCL-FOL Statistics:
% 0.13/0.39 % Number of learned clauses: 1
% 0.13/0.39 % Number of propagations: 22
% 0.13/0.39 % Number of decisions: 67
% 0.13/0.39 % Number of resolutions: 5
% 0.13/0.39 % Number of condensations: 0
% 0.13/0.39 % Number of sub resolutions: 0
% 0.13/0.39
% 0.13/0.39 % Solver is done. Empty clause found
% 0.13/0.39
% 0.13/0.39 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % Needed: 0:00:00.04
% 0.13/0.39
% 0.13/0.39 % ###
% 0.13/0.39 % ### Pagesize: 8192
% 0.13/0.39 % ### Marksize: 0
% 0.13/0.39 % ### Memory demanded: 2578 KBytes
% 0.13/0.39 % ### Memory freed: 2578 KBytes
% 0.13/0.39 % ### Memory remaining: 0 Bytes
% 0.13/0.39 % ### Pages allocated: 360 Pages
% 0.13/0.39 % ###
%------------------------------------------------------------------------------