%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1.1
% Problem : LCL044-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 01:08:50 PM UTC 2026
% Result : Unsatisfiable 5.07s 5.33s
% Output : Proof 5.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
% FILE RECORD
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('theBenchmark.p',condensed_detachment) ).
% FILE RECORD
cnf(cn_54,axiom,
is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
file('theBenchmark.p',cn_54) ).
% CNF SPASS RESOLUTION.
cnf(c_13,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X1),X1)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_54]) ).
% FILE RECORD
cnf(cn_21,axiom,
is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
file('theBenchmark.p',cn_21) ).
% CNF SPASS RESOLUTION.
cnf(c_8,plain,
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_21]) ).
% FILE RECORD
cnf(cn_3,axiom,
is_a_theorem(implies(X0,implies(not(X0),X1))),
file('theBenchmark.p',cn_3) ).
% CNF SPASS RESOLUTION.
cnf(c_9,plain,
is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[c_8,cn_3]) ).
% FILE RECORD
cnf(cn_18,axiom,
is_a_theorem(implies(X0,implies(X1,X0))),
file('theBenchmark.p',cn_18) ).
% FILE RECORD
cnf(prove_cn_40,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('theBenchmark.p',prove_cn_40) ).
% CNF SPASS RESOLUTION.
cnf(c_19,plain,
$false,
inference(resolution,[status(thm)],[c_13,condensed_detachment,c_9,cn_18,prove_cn_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL044-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 05:23:27 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.07/5.33
% 5.07/5.33 % Input Clauses:
% 5.07/5.33 % 1:3:2:INP:TopTop: is_a_theorem(implies(x0,x1)),is_a_theorem(x0) -> is_a_theorem(x1)
% 5.07/5.33 % 2:1:2:INP:TopTop: -> is_a_theorem(implies(x0,implies(not(x0),x1)))
% 5.07/5.33 % 3:1:2:INP:TopTop: -> is_a_theorem(implies(x0,implies(x1,x0)))
% 5.07/5.33 % 4:1:3:INP:TopTopTop: -> is_a_theorem(implies(implies(x0,implies(x1,x2)),implies(x1,implies(x0,x2))))
% 5.07/5.33 % 5:1:3:INP:TopTopTop: -> is_a_theorem(implies(implies(x0,x1),implies(implies(x2,x0),implies(x2,x1))))
% 5.07/5.33 % 6:1:2:INP:TopTop: -> is_a_theorem(implies(implies(x0,x1),implies(implies(not(x0),x1),x1)))
% 5.07/5.33 % 7:1:0:INP:: is_a_theorem(implies(a,not(not(a)))) ->
% 5.07/5.33
% 5.07/5.33 % Predicates: is_a_theorem
% 5.07/5.33 % Fol Constants: a
% 5.07/5.33 % Fol Functions: implies not
% 5.07/5.33 % Problem Properties:
% 5.07/5.33 % This is a full first-order problem without equality. The Problem is non-linear.
% 5.07/5.33
% 5.07/5.33
% 5.07/5.33 % Reduced Input Axiom Clauses:
% 5.07/5.33 % 1:3:2:INP:TopTop: is_a_theorem(implies(x0,x1)),is_a_theorem(x0) -> is_a_theorem(x1)
% 5.07/5.33 % 2:1:2:INP:TopTop: -> is_a_theorem(implies(x0,implies(not(x0),x1)))
% 5.07/5.33 % 3:1:2:INP:TopTop: -> is_a_theorem(implies(x0,implies(x1,x0)))
% 5.07/5.33 % 4:1:3:INP:TopTopTop: -> is_a_theorem(implies(implies(x0,implies(x1,x2)),implies(x1,implies(x0,x2))))
% 5.07/5.33 % 5:1:3:INP:TopTopTop: -> is_a_theorem(implies(implies(x0,x1),implies(implies(x2,x0),implies(x2,x1))))
% 5.07/5.33 % 6:1:2:INP:TopTop: -> is_a_theorem(implies(implies(x0,x1),implies(implies(not(x0),x1),x1)))
% 5.07/5.33
% 5.07/5.33 % Reduced Input Conjecture Clauses:
% 5.07/5.33 % 7:1:0:INP:: is_a_theorem(implies(a,not(not(a)))) ->
% 5.07/5.33
% 5.07/5.33
% 5.07/5.33 % === Starting SPASS-SCL-FOL A Little Less Naive, considering 105 atoms initially. Used heuristic: lcl ===
% 5.07/5.33
% 5.07/5.33
% 5.07/5.33
% 5.07/5.33 % SZS status Unsatisfiable
% 5.07/5.33 % Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.07/5.33
% 5.07/5.33 % SPASS-SCL-FOL Statistics:
% 5.07/5.33 % Number of learned clauses: 11
% 5.07/5.33 % Number of propagations: 875
% 5.07/5.33 % Number of decisions: 389
% 5.07/5.33 % Number of resolutions: 18
% 5.07/5.33 % Number of condensations: 0
% 5.07/5.33 % Number of sub resolutions: 0
% 5.07/5.33
% 5.07/5.33 % Solver is done. Empty clause found
% 5.07/5.33
% 5.07/5.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.07/5.33 % SZS output start Proof for theBenchmark
% See solution above
% 5.07/5.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.07/5.33
% 5.07/5.33
% 5.07/5.33 % Needed: 0:00:04.97
% 5.07/5.33
% 5.07/5.33 % ###
% 5.07/5.33 % ### Pagesize: 8192
% 5.07/5.33 % ### Marksize: 0
% 5.07/5.33 % ### Memory demanded: 90684 KBytes
% 5.07/5.33 % ### Memory freed: 90684 KBytes
% 5.07/5.33 % ### Memory remaining: 0 Bytes
% 5.07/5.33 % ### Pages allocated: 10941 Pages
% 5.07/5.33 % ###
%------------------------------------------------------------------------------