%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN649-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n002.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 05:39:49 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.73s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 3 unt; 0 nHn; 19 RR)
% Number of literals : 39 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p23_42,negated_conjecture,
( p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4)
| ~ p23(f5(X2,X5),X4)
| ~ p23(f5(f7(f10(c26,X1),X2),X3),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_42) ).
cnf(p23_41,negated_conjecture,
( p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X1),X2)),X1)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_41) ).
cnf(not_p23_38,negated_conjecture,
( ~ p23(f5(c24,c25),X1)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),c29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_38) ).
cnf(p23_39,negated_conjecture,
( p23(f5(c24,X1),f14(f22(c33,X2),X1))
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_39) ).
cnf(p23_44,negated_conjecture,
( p23(f5(f7(f10(c26,X1),X2),X3),f14(f16(f18(f20(c30,X1),X3),X2),X4))
| ~ p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_44) ).
cnf(p23_40,negated_conjecture,
( p23(f5(X1,f14(f16(f18(f20(c30,X2),X3),X1),X4)),X4)
| ~ p23(f5(f7(f10(c26,f12(c27,X2)),X1),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_40) ).
cnf(p23_26,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_26) ).
cnf(c_0_7,negated_conjecture,
( p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4)
| ~ p23(f5(X2,X5),X4)
| ~ p23(f5(f7(f10(c26,X1),X2),X3),X5) ),
p23_42 ).
cnf(c_0_8,negated_conjecture,
( p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X1),X2)),X1)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X2),X1) ),
p23_41 ).
cnf(c_0_9,negated_conjecture,
( ~ p23(f5(c24,c25),X1)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),c29) ),
not_p23_38 ).
cnf(c_0_10,negated_conjecture,
( p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,X1),X2)),X3)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X2),X1)
| ~ p23(f5(c24,X1),X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X2)
| ~ p23(f5(c24,c25),f14(f22(c33,X2),X1))
| ~ p23(f5(c24,X2),c29) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p23(f5(c24,X1),f14(f22(c33,X2),X1))
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X2) ),
p23_39 ).
cnf(c_0_13,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),X1)
| ~ p23(f5(c24,X1),c29) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p23(f5(f7(f10(c26,X1),X2),X3),f14(f16(f18(f20(c30,X1),X3),X2),X4))
| ~ p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4) ),
p23_44 ).
cnf(c_0_15,negated_conjecture,
( ~ p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),X1)),c29)
| ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( p23(f5(X1,f14(f16(f18(f20(c30,X2),X3),X1),X4)),X4)
| ~ p23(f5(f7(f10(c26,f12(c27,X2)),X1),X3),X4) ),
p23_40 ).
cnf(c_0_17,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
p23_26 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN649-1 : TPTP v9.2.1. Released v2.5.0.
% 0.11/0.13 % 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
% 0.15/0.34 % Computer : n002.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 08:43:16 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.27/1.73 % Version : CSE_E---1.7
% 1.27/1.73 % Problem : theBenchmark.p
% 1.27/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.73 % SZS output start CNFRefutation
% See solution above
% 1.27/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------