%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN101-1.002.002 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : n008.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 0.26s 1.63s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of clauses : 55 ( 21 unt; 0 nHn; 55 RR)
% Number of literals : 115 ( 0 equ; 62 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(n_s2_type12_2,axiom,
( q_1_2(X1,X2)
| ~ q_2_2(X1,X2)
| ~ p_1_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type12_2) ).
cnf(n_s2_type12_1,axiom,
( q_1_2(X1,X2)
| ~ p_2_2(X1,X2)
| ~ q_1_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type12_1) ).
cnf(n_s2_type11_2,axiom,
( p_1_2(X1,X2)
| ~ q_2_2(X1,X2)
| ~ q_1_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type11_2) ).
cnf(n_s2_type11_1,axiom,
( p_1_2(X1,X2)
| ~ p_2_2(X1,X2)
| ~ p_1_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type11_1) ).
cnf(n_s2_type21_2,axiom,
( q_1_1(X1,X2)
| ~ q_1_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type21_2) ).
cnf(n_s2_type22_2,axiom,
( q_2_2(X1,X2)
| ~ q_1_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type22_2) ).
cnf(n_s2_type21_1,axiom,
( p_1_1(X1,X2)
| ~ p_1_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type21_1) ).
cnf(n_s2_type22_1,axiom,
( p_2_2(X1,X2)
| ~ p_1_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type22_1) ).
cnf(n_t2_2,axiom,
( q_1_1(X1,X2)
| ~ nq_1(X1)
| ~ nq_2(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t2_2) ).
cnf(n_t2_4,axiom,
( q_2_2(X1,X2)
| ~ nq_1(X1)
| ~ nq_2(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t2_4) ).
cnf(n_t2_1,axiom,
( p_1_1(X1,X2)
| ~ nq_1(X1)
| ~ nq_2(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t2_1) ).
cnf(n_t2_3,axiom,
( p_2_2(X1,X2)
| ~ nq_1(X1)
| ~ nq_2(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t2_3) ).
cnf(n_s2_goal_1,negated_conjecture,
~ p_1_2(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_goal_1) ).
cnf(n_4,axiom,
nq_2(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_4) ).
cnf(n_3,axiom,
nq_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_3) ).
cnf(n_2,axiom,
nq_1(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_2) ).
cnf(n_1,axiom,
nq_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_1) ).
cnf(i_0_17,axiom,
( q_1_2(X1,X2)
| ~ q_2_2(X1,X2)
| ~ p_1_1(X1,X2) ),
n_s2_type12_2,
[final] ).
cnf(i_0_18,axiom,
( q_1_2(X1,X2)
| ~ p_2_2(X1,X2)
| ~ q_1_1(X1,X2) ),
n_s2_type12_1,
[final] ).
cnf(i_0_19,axiom,
( p_1_2(X1,X2)
| ~ q_2_2(X1,X2)
| ~ q_1_1(X1,X2) ),
n_s2_type11_2,
[final] ).
cnf(i_0_20,axiom,
( p_1_2(X1,X2)
| ~ p_2_2(X1,X2)
| ~ p_1_1(X1,X2) ),
n_s2_type11_1,
[final] ).
cnf(i_0_21,axiom,
( q_1_1(X1,X2)
| ~ q_1_2(X1,X2) ),
n_s2_type21_2,
[final] ).
cnf(i_0_22,axiom,
( q_2_2(X1,X2)
| ~ q_1_2(X1,X2) ),
n_s2_type22_2,
[final] ).
cnf(i_0_23,axiom,
( p_1_1(X1,X2)
| ~ p_1_2(X1,X2) ),
n_s2_type21_1,
[final] ).
cnf(i_0_24,axiom,
( p_2_2(X1,X2)
| ~ p_1_2(X1,X2) ),
n_s2_type22_1,
[final] ).
cnf(i_0_25,axiom,
( q_1_1(X1,X2)
| ~ nq_1(X1)
| ~ nq_2(X2) ),
n_t2_2,
[final] ).
cnf(i_0_26,axiom,
( q_2_2(X1,X2)
| ~ nq_1(X1)
| ~ nq_2(X2) ),
n_t2_4,
[final] ).
cnf(i_0_27,axiom,
( p_1_1(X1,X2)
| ~ nq_1(X1)
| ~ nq_2(X2) ),
n_t2_1,
[final] ).
cnf(i_0_28,axiom,
( p_2_2(X1,X2)
| ~ nq_1(X1)
| ~ nq_2(X2) ),
n_t2_3,
[final] ).
cnf(i_0_29,negated_conjecture,
~ p_1_2(a,a),
n_s2_goal_1,
[final] ).
cnf(i_0_30,axiom,
nq_2(b),
n_4,
[final] ).
cnf(i_0_31,axiom,
nq_2(a),
n_3,
[final] ).
cnf(i_0_32,axiom,
nq_1(b),
n_2,
[final] ).
cnf(i_0_33,axiom,
nq_1(a),
n_1,
[final] ).
cnf(i_0_34,plain,
q_2_2(b,b),
inference(scs_inference,[],[i_0_30,i_0_32,i_0_26]) ).
cnf(i_0_35,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| q_2_2(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_36,plain,
q_1_1(b,b),
inference(scs_inference,[],[i_0_30,i_0_32,i_0_26,i_0_25]) ).
cnf(i_0_37,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| q_1_1(X1,X2) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_38,plain,
p_1_1(b,b),
inference(scs_inference,[],[i_0_30,i_0_32,i_0_26,i_0_25,i_0_27]) ).
cnf(i_0_39,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| p_1_1(X1,X2) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_40,plain,
p_2_2(b,b),
inference(scs_inference,[],[i_0_30,i_0_32,i_0_26,i_0_25,i_0_27,i_0_28]) ).
cnf(i_0_41,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| p_2_2(X1,X2) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_42,plain,
p_1_2(b,b),
inference(scs_inference,[],[i_0_30,i_0_32,i_0_26,i_0_25,i_0_27,i_0_28,i_0_19]) ).
cnf(i_0_43,plain,
( ~ q_2_2(X1,X2)
| ~ q_1_1(X1,X2)
| p_1_2(X1,X2) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_44,plain,
q_1_2(b,b),
inference(scs_inference,[],[i_0_30,i_0_32,i_0_26,i_0_25,i_0_27,i_0_28,i_0_19,i_0_17]) ).
cnf(i_0_45,plain,
( ~ q_2_2(X1,X2)
| ~ p_1_1(X1,X2)
| q_1_2(X1,X2) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_46,plain,
q_2_2(a,a),
inference(scs_inference,[],[i_0_31,i_0_33,i_0_26]) ).
cnf(i_0_47,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| q_2_2(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_48,plain,
q_1_1(a,a),
inference(scs_inference,[],[i_0_31,i_0_33,i_0_26,i_0_25]) ).
cnf(i_0_49,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| q_1_1(X1,X2) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_50,plain,
p_1_1(a,a),
inference(scs_inference,[],[i_0_31,i_0_33,i_0_26,i_0_25,i_0_27]) ).
cnf(i_0_51,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| p_1_1(X1,X2) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_52,plain,
p_2_2(a,a),
inference(scs_inference,[],[i_0_31,i_0_33,i_0_26,i_0_25,i_0_27,i_0_28]) ).
cnf(i_0_53,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| p_2_2(X1,X2) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_54,plain,
$false,
inference(scs_inference,[],[i_0_29,i_0_31,i_0_33,i_0_26,i_0_25,i_0_27,i_0_28,i_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN101-1.002.002 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.13 % 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
% 0.15/0.34 % Computer : n008.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 08:13:43 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.26/1.63 % Version : CSE_E---1.7
% 0.26/1.63 % Problem : theBenchmark.p
% 0.26/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 0.26/1.63 % SZS output start CNFRefutation
% See solution above
% 0.26/1.68 % Total time : 1.273s
%------------------------------------------------------------------------------