%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN003-1.006 : TPTP v9.2.1. Released v1.0.0.
% 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 : n006.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 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 24
% Syntax : Number of clauses : 77 ( 27 unt; 0 nHn; 77 RR)
% Number of literals : 147 ( 0 equ; 78 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 19 ( 18 usr; 19 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prp_5,negated_conjecture,
( p_6
| ~ p_5
| ~ r_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_5) ).
cnf(pqp_5,negated_conjecture,
( p_6
| ~ p_5
| ~ q_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_5) ).
cnf(prp_4,negated_conjecture,
( p_5
| ~ p_4
| ~ r_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_4) ).
cnf(pqp_4,negated_conjecture,
( p_5
| ~ p_4
| ~ q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_4) ).
cnf(prp_3,negated_conjecture,
( p_4
| ~ p_3
| ~ r_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_3) ).
cnf(pqp_3,negated_conjecture,
( p_4
| ~ p_3
| ~ q_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_3) ).
cnf(prp_2,negated_conjecture,
( p_3
| ~ p_2
| ~ r_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_2) ).
cnf(pqp_2,negated_conjecture,
( p_3
| ~ p_2
| ~ q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_2) ).
cnf(prp_1,negated_conjecture,
( p_2
| ~ p_1
| ~ r_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_1) ).
cnf(pqp_1,negated_conjecture,
( p_2
| ~ p_1
| ~ q_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_1) ).
cnf(rr_5,negated_conjecture,
( r_5
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_5) ).
cnf(rr_4,negated_conjecture,
( r_4
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_4) ).
cnf(rr_3,negated_conjecture,
( r_3
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_3) ).
cnf(rr_2,negated_conjecture,
( r_2
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_2) ).
cnf(rr_1,negated_conjecture,
( r_1
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_1) ).
cnf(qq_5,negated_conjecture,
( q_5
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_5) ).
cnf(qq_4,negated_conjecture,
( q_4
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_4) ).
cnf(qq_3,negated_conjecture,
( q_3
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_3) ).
cnf(qq_2,negated_conjecture,
( q_2
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_2) ).
cnf(qq_1,negated_conjecture,
( q_1
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_1) ).
cnf(base_2,negated_conjecture,
~ p_6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_2) ).
cnf(base_4,negated_conjecture,
r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_4) ).
cnf(base_3,negated_conjecture,
q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_3) ).
cnf(base_1,negated_conjecture,
p_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_1) ).
cnf(i_0_24,negated_conjecture,
( p_6
| ~ p_5
| ~ r_5 ),
prp_5,
[final] ).
cnf(i_0_25,negated_conjecture,
( p_6
| ~ p_5
| ~ q_5 ),
pqp_5,
[final] ).
cnf(i_0_26,negated_conjecture,
( p_5
| ~ p_4
| ~ r_4 ),
prp_4,
[final] ).
cnf(i_0_27,negated_conjecture,
( p_5
| ~ p_4
| ~ q_4 ),
pqp_4,
[final] ).
cnf(i_0_28,negated_conjecture,
( p_4
| ~ p_3
| ~ r_3 ),
prp_3,
[final] ).
cnf(i_0_29,negated_conjecture,
( p_4
| ~ p_3
| ~ q_3 ),
pqp_3,
[final] ).
cnf(i_0_30,negated_conjecture,
( p_3
| ~ p_2
| ~ r_2 ),
prp_2,
[final] ).
cnf(i_0_31,negated_conjecture,
( p_3
| ~ p_2
| ~ q_2 ),
pqp_2,
[final] ).
cnf(i_0_32,negated_conjecture,
( p_2
| ~ p_1
| ~ r_1 ),
prp_1,
[final] ).
cnf(i_0_33,negated_conjecture,
( p_2
| ~ p_1
| ~ q_1 ),
pqp_1,
[final] ).
cnf(i_0_34,negated_conjecture,
( r_5
| ~ r ),
rr_5,
[final] ).
cnf(i_0_35,negated_conjecture,
( r_4
| ~ r ),
rr_4,
[final] ).
cnf(i_0_36,negated_conjecture,
( r_3
| ~ r ),
rr_3,
[final] ).
cnf(i_0_37,negated_conjecture,
( r_2
| ~ r ),
rr_2,
[final] ).
cnf(i_0_38,negated_conjecture,
( r_1
| ~ r ),
rr_1,
[final] ).
cnf(i_0_39,negated_conjecture,
( q_5
| ~ q ),
qq_5,
[final] ).
cnf(i_0_40,negated_conjecture,
( q_4
| ~ q ),
qq_4,
[final] ).
cnf(i_0_41,negated_conjecture,
( q_3
| ~ q ),
qq_3,
[final] ).
cnf(i_0_42,negated_conjecture,
( q_2
| ~ q ),
qq_2,
[final] ).
cnf(i_0_43,negated_conjecture,
( q_1
| ~ q ),
qq_1,
[final] ).
cnf(i_0_44,negated_conjecture,
~ p_6,
base_2,
[final] ).
cnf(i_0_45,negated_conjecture,
r,
base_4,
[final] ).
cnf(i_0_46,negated_conjecture,
q,
base_3,
[final] ).
cnf(i_0_47,negated_conjecture,
p_1,
base_1,
[final] ).
cnf(i_0_48,plain,
( ~ p_5
| ~ r_5 ),
inference(scs_inference,[],[i_0_44,i_0_24]) ).
cnf(i_0_49,plain,
( ~ p_5
| ~ q_5 ),
inference(scs_inference,[],[i_0_44,i_0_25]) ).
cnf(i_0_50,plain,
( p_2
| ~ r_1 ),
inference(scs_inference,[],[i_0_47,i_0_32]) ).
cnf(i_0_51,plain,
( p_2
| ~ q_1 ),
inference(scs_inference,[],[i_0_47,i_0_33]) ).
cnf(i_0_52,plain,
r_5,
inference(scs_inference,[],[i_0_45,i_0_34]) ).
cnf(i_0_53,plain,
r_4,
inference(scs_inference,[],[i_0_45,i_0_35]) ).
cnf(i_0_54,plain,
r_3,
inference(scs_inference,[],[i_0_45,i_0_36]) ).
cnf(i_0_55,plain,
r_2,
inference(scs_inference,[],[i_0_45,i_0_37]) ).
cnf(i_0_56,plain,
r_1,
inference(scs_inference,[],[i_0_45,i_0_38]) ).
cnf(i_0_57,plain,
q_5,
inference(scs_inference,[],[i_0_46,i_0_39]) ).
cnf(i_0_58,plain,
q_4,
inference(scs_inference,[],[i_0_46,i_0_40]) ).
cnf(i_0_59,plain,
q_3,
inference(scs_inference,[],[i_0_46,i_0_41]) ).
cnf(i_0_60,plain,
q_2,
inference(scs_inference,[],[i_0_46,i_0_42]) ).
cnf(i_0_61,plain,
q_1,
inference(scs_inference,[],[i_0_46,i_0_43]) ).
cnf(i_0_62,plain,
( p_5
| ~ p_4 ),
inference(scs_inference,[],[i_0_53,i_0_26]) ).
cnf(i_0_63,plain,
( p_5
| ~ p_4 ),
inference(scs_inference,[],[i_0_58,i_0_27]) ).
cnf(i_0_64,plain,
( p_4
| ~ p_3 ),
inference(scs_inference,[],[i_0_54,i_0_28]) ).
cnf(i_0_65,plain,
( p_4
| ~ p_3 ),
inference(scs_inference,[],[i_0_59,i_0_29]) ).
cnf(i_0_66,plain,
( p_3
| ~ p_2 ),
inference(scs_inference,[],[i_0_55,i_0_30]) ).
cnf(i_0_67,plain,
( p_3
| ~ p_2 ),
inference(scs_inference,[],[i_0_60,i_0_31]) ).
cnf(i_0_68,plain,
~ p_5,
inference(scs_inference,[],[i_0_52,i_0_48]) ).
cnf(i_0_69,plain,
~ p_5,
inference(scs_inference,[],[i_0_57,i_0_49]) ).
cnf(i_0_70,plain,
p_2,
inference(scs_inference,[],[i_0_56,i_0_50]) ).
cnf(i_0_71,plain,
p_2,
inference(scs_inference,[],[i_0_61,i_0_51]) ).
cnf(i_0_72,plain,
~ p_4,
inference(scs_inference,[],[i_0_68,i_0_62]) ).
cnf(i_0_73,plain,
~ p_4,
inference(scs_inference,[],[i_0_68,i_0_63]) ).
cnf(i_0_74,plain,
p_3,
inference(scs_inference,[],[i_0_70,i_0_66]) ).
cnf(i_0_75,plain,
p_3,
inference(scs_inference,[],[i_0_70,i_0_67]) ).
cnf(i_0_76,plain,
$false,
inference(scs_inference,[],[i_0_72,i_0_74,i_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN003-1.006 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n006.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 08:03:16 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% See solution above
% 0.25/1.66 % Total time : 1.272s
%------------------------------------------------------------------------------