%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN686-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n001.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 05:39:54 PM UTC 2026
% Result : Unsatisfiable 2.01s 1.91s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 35 ( 18 unt; 0 nHn; 29 RR)
% Number of literals : 71 ( 0 equ; 38 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_27,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_27) ).
cnf(p4_19,negated_conjecture,
p4(f5(c32,c36),c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_19) ).
cnf(p30_39,negated_conjecture,
( p30(X1,X2)
| ~ p4(X3,X2)
| ~ p9(X4,X1)
| ~ p30(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_39) ).
cnf(p30_21,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_21) ).
cnf(p4_50,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_50) ).
cnf(p9_41,negated_conjecture,
( p9(f10(X1,X2),f10(X3,X4))
| ~ p4(X2,X4)
| ~ p8(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_41) ).
cnf(p4_20,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_20) ).
cnf(p2_12,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p8_51,negated_conjecture,
( p8(f12(X1,X2),f12(X3,X4))
| ~ p11(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_51) ).
cnf(p3_17,negated_conjecture,
p3(c36,f7(c33,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
cnf(not_p30_22,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p30_22) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
cnf(p11_1,negated_conjecture,
p11(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
cnf(c_0_13,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_27 ).
cnf(c_0_14,negated_conjecture,
p4(f5(c32,c36),c37),
p4_19 ).
cnf(c_0_15,negated_conjecture,
( p30(X1,X2)
| ~ p4(X3,X2)
| ~ p9(X4,X1)
| ~ p30(X4,X3) ),
p30_39 ).
cnf(c_0_16,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41),
p30_21 ).
cnf(c_0_17,negated_conjecture,
( p4(X1,c37)
| ~ p4(f5(c32,c36),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_50 ).
cnf(c_0_19,negated_conjecture,
( p30(X1,X2)
| ~ p4(c41,X2)
| ~ p9(f10(f12(c39,c36),c37),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( p9(f10(X1,X2),f10(X3,X4))
| ~ p4(X2,X4)
| ~ p8(X1,X3) ),
p9_41 ).
cnf(c_0_21,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35),
p4_20 ).
cnf(c_0_22,negated_conjecture,
( p4(f5(X1,X2),c37)
| ~ p2(c32,X1)
| ~ p3(c36,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
p2(X1,X1),
p2_12 ).
cnf(c_0_24,negated_conjecture,
( p30(f10(X1,X2),X3)
| ~ p4(c41,X3)
| ~ p4(c37,X2)
| ~ p8(f12(c39,c36),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( p8(f12(X1,X2),f12(X3,X4))
| ~ p11(X1,X3)
| ~ p3(X2,X4) ),
p8_51 ).
cnf(c_0_26,negated_conjecture,
( p4(X1,c35)
| ~ p4(f5(c32,f7(c33,c34)),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( p4(f5(c32,X1),c37)
| ~ p3(c36,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
p3(c36,f7(c33,c34)),
p3_17 ).
cnf(c_0_29,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
not_p30_22 ).
cnf(c_0_30,negated_conjecture,
( p30(f10(f12(X1,X2),X3),X4)
| ~ p3(c36,X2)
| ~ p4(c41,X4)
| ~ p4(c37,X3)
| ~ p11(c39,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_32,negated_conjecture,
p4(c37,c35),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_33,negated_conjecture,
p11(X1,X1),
p11_1 ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]),c_0_31]),c_0_32]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN686-1 : TPTP v9.2.1. Released v2.5.0.
% 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
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:44:03 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 2.01/1.91 % Version : CSE_E---1.7
% 2.01/1.91 % Problem : theBenchmark.p
% 2.01/1.91 % SZS status Unsatisfiable for theBenchmark.p
% 2.01/1.91 % SZS output start CNFRefutation
% See solution above
% 2.01/1.92 % Total time : 1.373s
%------------------------------------------------------------------------------