%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN004-1.007 : TPTP v9.2.1. Released v1.0.0.
% 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 05:35:07 PM UTC 2026
% Result : Unsatisfiable 0.25s 1.62s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 43 ( 17 unt; 0 nHn; 43 RR)
% Number of literals : 93 ( 0 equ; 52 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 15 ( 14 usr; 15 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(pqq_6,negated_conjecture,
( q_7
| ~ p_6
| ~ q_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_6) ).
cnf(pqp_6,negated_conjecture,
( p_7
| ~ p_6
| ~ q_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_6) ).
cnf(pqq_5,negated_conjecture,
( q_6
| ~ p_5
| ~ q_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_5) ).
cnf(pqp_5,negated_conjecture,
( p_6
| ~ p_5
| ~ q_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_5) ).
cnf(pqq_4,negated_conjecture,
( q_5
| ~ p_4
| ~ q_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_4) ).
cnf(pqp_4,negated_conjecture,
( p_5
| ~ p_4
| ~ q_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_4) ).
cnf(pqq_3,negated_conjecture,
( q_4
| ~ p_3
| ~ q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_3) ).
cnf(pqp_3,negated_conjecture,
( p_4
| ~ p_3
| ~ q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_3) ).
cnf(pqq_2,negated_conjecture,
( q_3
| ~ p_2
| ~ q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_2) ).
cnf(pqp_2,negated_conjecture,
( p_3
| ~ p_2
| ~ q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_2) ).
cnf(pqq_1,negated_conjecture,
( q_2
| ~ p_1
| ~ q_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_1) ).
cnf(pqp_1,negated_conjecture,
( p_2
| ~ p_1
| ~ q_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_1) ).
cnf(base_3,negated_conjecture,
( ~ p_7
| ~ q_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_3) ).
cnf(base_2,negated_conjecture,
q_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_2) ).
cnf(base_1,negated_conjecture,
p_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_1) ).
cnf(i_0_15,negated_conjecture,
( q_7
| ~ p_6
| ~ q_6 ),
pqq_6,
[final] ).
cnf(i_0_16,negated_conjecture,
( p_7
| ~ p_6
| ~ q_6 ),
pqp_6,
[final] ).
cnf(i_0_17,negated_conjecture,
( q_6
| ~ p_5
| ~ q_5 ),
pqq_5,
[final] ).
cnf(i_0_18,negated_conjecture,
( p_6
| ~ p_5
| ~ q_5 ),
pqp_5,
[final] ).
cnf(i_0_19,negated_conjecture,
( q_5
| ~ p_4
| ~ q_4 ),
pqq_4,
[final] ).
cnf(i_0_20,negated_conjecture,
( p_5
| ~ p_4
| ~ q_4 ),
pqp_4,
[final] ).
cnf(i_0_21,negated_conjecture,
( q_4
| ~ p_3
| ~ q_3 ),
pqq_3,
[final] ).
cnf(i_0_22,negated_conjecture,
( p_4
| ~ p_3
| ~ q_3 ),
pqp_3,
[final] ).
cnf(i_0_23,negated_conjecture,
( q_3
| ~ p_2
| ~ q_2 ),
pqq_2,
[final] ).
cnf(i_0_24,negated_conjecture,
( p_3
| ~ p_2
| ~ q_2 ),
pqp_2,
[final] ).
cnf(i_0_25,negated_conjecture,
( q_2
| ~ p_1
| ~ q_1 ),
pqq_1,
[final] ).
cnf(i_0_26,negated_conjecture,
( p_2
| ~ p_1
| ~ q_1 ),
pqp_1,
[final] ).
cnf(i_0_27,negated_conjecture,
( ~ p_7
| ~ q_7 ),
base_3,
[final] ).
cnf(i_0_28,negated_conjecture,
q_1,
base_2,
[final] ).
cnf(i_0_29,negated_conjecture,
p_1,
base_1,
[final] ).
cnf(i_0_30,plain,
q_2,
inference(scs_inference,[],[i_0_29,i_0_28,i_0_25]) ).
cnf(i_0_31,plain,
p_2,
inference(scs_inference,[],[i_0_29,i_0_28,i_0_26]) ).
cnf(i_0_32,plain,
q_3,
inference(scs_inference,[],[i_0_31,i_0_30,i_0_23]) ).
cnf(i_0_33,plain,
p_3,
inference(scs_inference,[],[i_0_31,i_0_30,i_0_24]) ).
cnf(i_0_34,plain,
q_4,
inference(scs_inference,[],[i_0_33,i_0_32,i_0_21]) ).
cnf(i_0_35,plain,
p_4,
inference(scs_inference,[],[i_0_33,i_0_32,i_0_22]) ).
cnf(i_0_36,plain,
q_5,
inference(scs_inference,[],[i_0_35,i_0_34,i_0_19]) ).
cnf(i_0_37,plain,
p_5,
inference(scs_inference,[],[i_0_35,i_0_34,i_0_20]) ).
cnf(i_0_38,plain,
q_6,
inference(scs_inference,[],[i_0_37,i_0_36,i_0_17]) ).
cnf(i_0_39,plain,
p_6,
inference(scs_inference,[],[i_0_37,i_0_36,i_0_18]) ).
cnf(i_0_40,plain,
q_7,
inference(scs_inference,[],[i_0_39,i_0_38,i_0_15]) ).
cnf(i_0_41,plain,
p_7,
inference(scs_inference,[],[i_0_39,i_0_38,i_0_16]) ).
cnf(i_0_42,plain,
$false,
inference(scs_inference,[],[i_0_40,i_0_41,i_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN004-1.007 : TPTP v9.2.1. Released v1.0.0.
% 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 : n001.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 08:04:03 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.25/1.62 % Version : CSE_E---1.7
% 0.25/1.62 % Problem : theBenchmark.p
% 0.25/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.62 % SZS output start CNFRefutation
% See solution above
% 0.25/1.66 % Total time : 1.272s
%------------------------------------------------------------------------------