%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN194-1 : 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 : n008.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 05:36:24 PM UTC 2026
% Result : Unsatisfiable 1.32s 1.72s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 38 ( 17 unt; 0 nHn; 38 RR)
% Number of literals : 66 ( 0 equ; 32 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 43 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_001,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(rule_067,axiom,
( p1(X1,X1,X1)
| ~ q0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_067) ).
cnf(axiom_33,axiom,
q0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_33) ).
cnf(rule_327,axiom,
( r5(X1,X2)
| ~ s4(X1)
| ~ k0(b)
| ~ n3(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_327) ).
cnf(axiom_32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
cnf(rule_159,axiom,
( p2(X1,X1,X1)
| ~ k1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_159) ).
cnf(rule_137,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(prove_this,negated_conjecture,
~ r5(c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_240,axiom,
( n3(X1)
| ~ p2(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_244,axiom,
( p3(X1,X1,X1)
| ~ n2(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
cnf(rule_299,axiom,
( s4(X1)
| ~ p3(X2,X3,X4)
| ~ l1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).
cnf(rule_002,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(c_0_13,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
rule_001 ).
cnf(c_0_14,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_15,axiom,
( p1(X1,X1,X1)
| ~ q0(X2,X1) ),
rule_067 ).
cnf(c_0_16,axiom,
q0(d,c),
axiom_33 ).
cnf(c_0_17,axiom,
( r5(X1,X2)
| ~ s4(X1)
| ~ k0(b)
| ~ n3(X2) ),
rule_327 ).
cnf(c_0_18,axiom,
k0(b),
axiom_32 ).
cnf(c_0_19,axiom,
( p2(X1,X1,X1)
| ~ k1(X1) ),
rule_159 ).
cnf(c_0_20,plain,
k1(c),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
rule_137 ).
cnf(c_0_22,plain,
p1(c,c,c),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
~ r5(c,c),
prove_this ).
cnf(c_0_24,plain,
( r5(X1,X2)
| ~ s4(X1)
| ~ n3(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_25,axiom,
( n3(X1)
| ~ p2(X2,X3,X1) ),
rule_240 ).
cnf(c_0_26,plain,
p2(c,c,c),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,axiom,
( p3(X1,X1,X1)
| ~ n2(X1) ),
rule_244 ).
cnf(c_0_28,plain,
n2(c),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( ~ s4(c)
| ~ n3(c) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
n3(c),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,axiom,
( s4(X1)
| ~ p3(X2,X3,X4)
| ~ l1(X1,X3) ),
rule_299 ).
cnf(c_0_32,plain,
p3(c,c,c),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
rule_002 ).
cnf(c_0_34,negated_conjecture,
~ s4(c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_35,plain,
( s4(X1)
| ~ l1(X1,c) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
l1(c,c),
inference(spm,[status(thm)],[c_0_33,c_0_14]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN194-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n008.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 08:19:43 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.32/1.72 % Version : CSE_E---1.7
% 1.32/1.72 % Problem : theBenchmark.p
% 1.32/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.72 % SZS output start CNFRefutation
% See solution above
% 1.32/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------