%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN179-1 : TPTP v9.2.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 05:36:22 PM UTC 2026
% Result : Unsatisfiable 1.41s 1.75s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of clauses : 45 ( 21 unt; 0 nHn; 37 RR)
% Number of literals : 88 ( 0 equ; 45 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 65 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_003,axiom,
( l1(X1,X2)
| ~ p0(X3,X1)
| ~ r0(X4)
| ~ m0(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_059,axiom,
( n1(X1,X1,X2)
| ~ m0(X3,X4,X4)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_059) ).
cnf(rule_255,axiom,
( q3(X1,X2)
| ~ q2(X3,X1,X2)
| ~ n0(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(rule_186,axiom,
( q2(X1,X1,X2)
| ~ l1(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
cnf(axiom_9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
cnf(rule_126,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(axiom_36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
cnf(rule_125,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(rule_190,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_190) ).
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(rule_257,axiom,
( q3(X1,X2)
| ~ n1(X3,X1,X2)
| ~ s2(X1)
| ~ q3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_257) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(prove_this,negated_conjecture,
~ q3(d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_15,axiom,
( l1(X1,X2)
| ~ p0(X3,X1)
| ~ r0(X4)
| ~ m0(X2,X1,X3) ),
rule_003 ).
cnf(c_0_16,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_17,plain,
( l1(d,X1)
| ~ p0(X2,d)
| ~ r0(X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_19,axiom,
( n1(X1,X1,X2)
| ~ m0(X3,X4,X4)
| ~ m0(X2,X3,X1) ),
rule_059 ).
cnf(c_0_20,axiom,
( q3(X1,X2)
| ~ q2(X3,X1,X2)
| ~ n0(X3,X1) ),
rule_255 ).
cnf(c_0_21,axiom,
( q2(X1,X1,X2)
| ~ l1(X2,X1) ),
rule_186 ).
cnf(c_0_22,plain,
( l1(d,X1)
| ~ r0(X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,axiom,
r0(b),
axiom_9 ).
cnf(c_0_24,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
rule_126 ).
cnf(c_0_25,axiom,
q0(a,b),
axiom_36 ).
cnf(c_0_26,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
rule_125 ).
cnf(c_0_27,plain,
( n1(X1,X1,X2)
| ~ m0(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_28,plain,
( q3(X1,X2)
| ~ l1(X2,X1)
| ~ n0(X1,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
l1(d,X1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
rule_190 ).
cnf(c_0_31,axiom,
s0(d),
axiom_1 ).
cnf(c_0_32,plain,
( s1(a)
| ~ s1(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,plain,
s1(b),
inference(spm,[status(thm)],[c_0_26,c_0_18]) ).
cnf(c_0_34,axiom,
( q3(X1,X2)
| ~ n1(X3,X1,X2)
| ~ s2(X1)
| ~ q3(X2,X1) ),
rule_257 ).
cnf(c_0_35,plain,
n1(X1,X1,X2),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_36,plain,
( q3(X1,d)
| ~ n0(X1,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,axiom,
n0(e,e),
axiom_30 ).
cnf(c_0_38,plain,
( s2(d)
| ~ s1(a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_39,plain,
s1(a),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
( q3(X1,X2)
| ~ q3(X2,X1)
| ~ s2(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
q3(e,d),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
s2(d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).
cnf(c_0_43,negated_conjecture,
~ q3(d,X1),
prove_this ).
cnf(c_0_44,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN179-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n010.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:18:21 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.41/1.75 % Version : CSE_E---1.7
% 1.41/1.75 % Problem : theBenchmark.p
% 1.41/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.41/1.75 % SZS output start CNFRefutation
% See solution above
% 1.41/1.75 % Total time : 1.372s
%------------------------------------------------------------------------------