%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN110-1 : TPTP v9.2.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.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 : 300s
% DateTime : Tue May 5 05:36:10 PM UTC 2026
% Result : Unsatisfiable 1.38s 1.73s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of clauses : 46 ( 27 unt; 0 nHn; 40 RR)
% Number of literals : 79 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 42 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_024,axiom,
( m1(X1,a,X2)
| ~ m0(a,X3,a)
| ~ q0(X1,X2)
| ~ m1(X2,c,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_024) ).
cnf(axiom_12,axiom,
m0(a,X1,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
cnf(rule_020,axiom,
( m1(c,c,c)
| ~ l0(c) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_020) ).
cnf(axiom_24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
cnf(rule_035,axiom,
( m1(X1,X2,X1)
| ~ r0(X1)
| ~ l0(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_035) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(axiom_9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
cnf(rule_107,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_107) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(axiom_33,axiom,
q0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_33) ).
cnf(rule_127,axiom,
( k2(X1,X2)
| ~ m1(X3,X2,X1)
| ~ k1(X4)
| ~ k2(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
cnf(rule_129,axiom,
( k2(X1,X1)
| ~ q1(X2,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(rule_001,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(prove_this,negated_conjecture,
~ k2(c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
cnf(c_0_16,axiom,
( m1(X1,a,X2)
| ~ m0(a,X3,a)
| ~ q0(X1,X2)
| ~ m1(X2,c,X2) ),
rule_024 ).
cnf(c_0_17,axiom,
m0(a,X1,a),
axiom_12 ).
cnf(c_0_18,axiom,
( m1(c,c,c)
| ~ l0(c) ),
rule_020 ).
cnf(c_0_19,axiom,
l0(c),
axiom_24 ).
cnf(c_0_20,axiom,
( m1(X1,X2,X1)
| ~ r0(X1)
| ~ l0(X2) ),
rule_035 ).
cnf(c_0_21,axiom,
l0(a),
axiom_20 ).
cnf(c_0_22,plain,
( m1(X1,a,X2)
| ~ m1(X2,c,X2)
| ~ q0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_23,plain,
m1(c,c,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).
cnf(c_0_24,plain,
( m1(X1,a,X1)
| ~ r0(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,axiom,
r0(b),
axiom_9 ).
cnf(c_0_26,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
rule_107 ).
cnf(c_0_27,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_28,plain,
( m1(X1,a,c)
| ~ q0(X1,c) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,axiom,
q0(d,c),
axiom_33 ).
cnf(c_0_30,axiom,
( k2(X1,X2)
| ~ m1(X3,X2,X1)
| ~ k1(X4)
| ~ k2(X4,X2) ),
rule_127 ).
cnf(c_0_31,plain,
m1(b,a,b),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,axiom,
( k2(X1,X1)
| ~ q1(X2,X1,X1) ),
rule_129 ).
cnf(c_0_33,plain,
q1(e,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_27])]) ).
cnf(c_0_34,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
rule_001 ).
cnf(c_0_35,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_36,plain,
m1(d,a,c),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,negated_conjecture,
~ k2(c,a),
prove_this ).
cnf(c_0_38,plain,
( k2(b,a)
| ~ k2(X1,a)
| ~ k1(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,plain,
k2(X1,X1),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
k1(a),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,axiom,
n0(a,b),
axiom_15 ).
cnf(c_0_42,plain,
( ~ k2(X1,a)
| ~ k1(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_37]) ).
cnf(c_0_43,plain,
k2(b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_44,plain,
k1(b),
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_45,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN110-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:14:06 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.38/1.73 % Version : CSE_E---1.7
% 1.38/1.73 % Problem : theBenchmark.p
% 1.38/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.38/1.73 % SZS output start CNFRefutation
% See solution above
% 1.38/1.73 % Total time : 1.374s
%------------------------------------------------------------------------------