%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN098-1.002 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : n016.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 05:36:08 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 37 ( 9 unt; 9 nHn; 37 RR)
% Number of literals : 79 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sym_u_14_t3_1,axiom,
( sym_u_14
| ~ sym_p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_14_t3_1) ).
cnf(sym_u_t3_1,axiom,
( ~ sym_u_14
| ~ sym_p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t3_1) ).
cnf(sym_u_17_t3_4,axiom,
( sym_u_17
| ~ sym_q_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_17_t3_4) ).
cnf(sym_u_t3_4,axiom,
( ~ sym_u_17
| ~ sym_q_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t3_4) ).
cnf(sym_u_s3_type12_3,axiom,
( sym_p_2
| sym_q_3
| ~ sym_u_8
| ~ sym_q_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_type12_3) ).
cnf(sym_u_8_s3_type12_3,axiom,
( sym_u_8
| ~ sym_q_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_8_s3_type12_3) ).
cnf(sym_u_16_t3_3,axiom,
( sym_u_16
| ~ sym_q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_16_t3_3) ).
cnf(sym_u_t3_3,axiom,
( ~ sym_u_16
| ~ sym_q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t3_3) ).
cnf(sym_u_s3_goal_1,axiom,
( sym_p_0
| sym_q_0
| ~ sym_u_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_goal_1) ).
cnf(sym_u_1_s3_goal_1,axiom,
sym_u_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_1_s3_goal_1) ).
cnf(sym_u_s3_type11_2,axiom,
( sym_q_1
| sym_q_2
| ~ sym_u_3
| ~ sym_p_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_type11_2) ).
cnf(sym_u_3_s3_type11_2,axiom,
( sym_u_3
| ~ sym_p_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_3_s3_type11_2) ).
cnf(sym_u_s3_type12_2,axiom,
( sym_q_1
| sym_p_2
| ~ sym_u_7
| ~ sym_q_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_type12_2) ).
cnf(sym_u_7_s3_type12_2,axiom,
( sym_u_7
| ~ sym_q_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_7_s3_type12_2) ).
cnf(c_0_14,axiom,
( sym_u_14
| ~ sym_p_2 ),
sym_u_14_t3_1 ).
cnf(c_0_15,axiom,
( ~ sym_u_14
| ~ sym_p_2 ),
sym_u_t3_1 ).
cnf(c_0_16,axiom,
( sym_u_17
| ~ sym_q_3 ),
sym_u_17_t3_4 ).
cnf(c_0_17,axiom,
( ~ sym_u_17
| ~ sym_q_3 ),
sym_u_t3_4 ).
cnf(c_0_18,axiom,
( sym_p_2
| sym_q_3
| ~ sym_u_8
| ~ sym_q_1 ),
sym_u_s3_type12_3 ).
cnf(c_0_19,plain,
~ sym_p_2,
inference(csr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
~ sym_q_3,
inference(csr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,axiom,
( sym_u_8
| ~ sym_q_1 ),
sym_u_8_s3_type12_3 ).
cnf(c_0_22,axiom,
( sym_u_16
| ~ sym_q_2 ),
sym_u_16_t3_3 ).
cnf(c_0_23,axiom,
( ~ sym_u_16
| ~ sym_q_2 ),
sym_u_t3_3 ).
cnf(c_0_24,axiom,
( sym_p_0
| sym_q_0
| ~ sym_u_1 ),
sym_u_s3_goal_1 ).
cnf(c_0_25,axiom,
sym_u_1,
sym_u_1_s3_goal_1 ).
cnf(c_0_26,axiom,
( sym_q_1
| sym_q_2
| ~ sym_u_3
| ~ sym_p_0 ),
sym_u_s3_type11_2 ).
cnf(c_0_27,plain,
~ sym_q_1,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_28,plain,
~ sym_q_2,
inference(csr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,axiom,
( sym_u_3
| ~ sym_p_0 ),
sym_u_3_s3_type11_2 ).
cnf(c_0_30,axiom,
( sym_q_1
| sym_p_2
| ~ sym_u_7
| ~ sym_q_0 ),
sym_u_s3_type12_2 ).
cnf(c_0_31,axiom,
( sym_u_7
| ~ sym_q_0 ),
sym_u_7_s3_type12_2 ).
cnf(c_0_32,plain,
( sym_q_0
| sym_p_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_33,plain,
~ sym_p_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_34,plain,
( sym_q_1
| ~ sym_q_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_30,c_0_19]),c_0_31]) ).
cnf(c_0_35,plain,
sym_q_0,
inference(sr,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN098-1.002 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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
% 0.15/0.33 % Computer : n016.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 08:13:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.369s
%------------------------------------------------------------------------------