%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN166-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 : Thu Sep 24 09:09:39 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.50s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 18 unt; 0 nHn; 23 RR)
% Number of literals : 37 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
r0(b),
file('SYN001-0.ax',axiom_9) ).
cnf(axiom_12,axiom,
m0(a,X,a),
file('SYN001-0.ax',axiom_12) ).
cnf(axiom_20,axiom,
l0(a),
file('SYN001-0.ax',axiom_20) ).
cnf(axiom_38,axiom,
m0(b,a,a),
file('SYN001-0.ax',axiom_38) ).
cnf(rule_082,axiom,
( ~ p1(J,H,A)
| ~ m0(J,H,A)
| p1(H,I,J) ),
file('SYN001-0.ax',rule_082) ).
cnf(rule_087,axiom,
( ~ p1(a,a,a)
| ~ r0(b)
| p1(a,b,a) ),
file('SYN001-0.ax',rule_087) ).
cnf(rule_088,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('SYN001-0.ax',rule_088) ).
cnf(prove_this,negated_conjecture,
~ p1(a,b,b),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ p1(a,b,b),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ m0(b,a,a)
| ~ p1(b,a,a)
| p1(a,b,b) ),
inference(extension,[status(thm),parent(t1:1)],[rule_082]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ m0(a,b,a)
| ~ p1(a,b,a)
| p1(b,a,a) ),
inference(extension,[status(thm),parent(t2:2)],[rule_082]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ r0(b)
| ~ p1(a,a,a)
| p1(a,b,a) ),
inference(extension,[status(thm),parent(t4:2)],[rule_087]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ l0(a)
| p1(a,a,a) ),
inference(extension,[status(thm),parent(t6:2)],[rule_088]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
l0(a),
inference(extension,[status(thm),parent(t8:2)],[axiom_20]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
r0(b),
inference(extension,[status(thm),parent(t6:3)],[axiom_9]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:3]) ).
cnf(t14,plain,
m0(a,b,a),
inference(extension,[status(thm),parent(t4:3)],[axiom_12]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t4:3]) ).
cnf(t16,plain,
m0(b,a,a),
inference(extension,[status(thm),parent(t2:3)],[axiom_38]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN166-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 06:26:54 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------