0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : gkc %s 0.12/0.33 % Computer : n017.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 04:26:30 EDT 2022 0.12/0.33 % CPUTime : 0.18/0.37 0.18/0.37 input clause set summed statistics: 0.18/0.37 ---------------------------------- 0.18/0.37 in_clause_count: 72 0.18/0.37 in_rule_clause_count: 72 0.18/0.37 in_fact_clause_count: 0 0.18/0.37 in_answer_clause_count: 0 0.18/0.37 in_ground_clause_count: 41 0.18/0.37 in_unit_clause_count: 12 0.18/0.37 in_horn_clause_count: 69 0.18/0.37 in_pos_clause_count: 14 0.18/0.37 in_neg_clause_count: 1 0.18/0.37 in_poseq_clause_count: 6 0.18/0.37 in_negeq_clause_count: 1 0.18/0.37 in_unitposeq_clause_count: 0 0.18/0.37 in_chain_clause_count: 0 0.18/0.37 in_min_length: 1 0.18/0.37 in_max_length: 4 0.18/0.37 in_min_depth: 1 0.18/0.37 in_max_depth: 5 0.18/0.37 in_min_size: 2 0.18/0.37 in_max_size: 16 0.18/0.37 in_min_vars: 0 0.18/0.37 in_max_vars: 3 0.18/0.37 in_extaxiom_count: 68 0.18/0.37 in_axiom_count: 3 0.18/0.37 in_assumption_count: 0 0.18/0.37 in_goal_count: 1 0.18/0.37 in_neg_goal_count: 1 0.18/0.37 in_pos_goal_count: 0 0.18/0.37 in_posunit_goal_count: 0 0.18/0.37 0.18/0.37 auto guide: 0.18/0.37 ----------- 0.18/0.37 { 0.18/0.37 "print":1, 0.18/0.37 "print_level": 15, 0.18/0.37 "max_size": 0, 0.18/0.37 "max_depth": 0, 0.18/0.37 "max_length": 0, 0.18/0.37 "max_dseconds": 0, 0.18/0.37 "runs":[ 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":1}, 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1}, 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1}, 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":0}, 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], 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without proof. 4.43/1.03 4.43/1.03 **** run 54 fork 5 starts with strategy 4.43/1.03 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0} 4.43/1.03 4.43/1.03 fork 4: search finished without proof. 4.98/1.04 4.98/1.04 **** run 55 fork 6 starts with strategy 4.98/1.04 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100} 4.98/1.04 4.98/1.04 **** run 77 fork 4 starts with strategy 4.98/1.04 {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1} 4.98/1.08 4.98/1.08 4.98/1.08 fork 0: search terminated without proof. 5.26/1.08 5.26/1.08 5.26/1.08 fork 7: search terminated without proof. 5.26/1.10 5.26/1.10 **** run 48 fork 7 starts with strategy 5.26/1.10 {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0} 5.26/1.10 5.26/1.10 **** run 41 fork 0 starts with strategy 5.26/1.10 {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0} 5.26/1.10 5.26/1.10 5.26/1.10 fork 2: search terminated without proof. 5.26/1.11 5.26/1.11 5.26/1.11 fork 3: search terminated without proof. 5.26/1.12 5.26/1.12 **** run 51 fork 2 starts with strategy 5.26/1.12 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"rewrite":0} 5.26/1.12 5.26/1.12 **** run 52 fork 3 starts with strategy 5.26/1.12 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"sine":2} 5.26/1.12 5.26/1.12 fork 0: search finished without proof. 5.71/1.14 5.71/1.14 **** run 49 fork 0 starts with strategy 5.71/1.14 {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1} 5.71/1.15 5.71/1.15 5.71/1.15 fork 5: search terminated without proof. 5.71/1.15 5.71/1.15 fork 3: search finished without proof. 5.71/1.16 5.71/1.16 5.71/1.16 fork 6: search terminated without proof. 5.71/1.16 5.71/1.16 **** run 62 fork 5 starts with strategy 5.71/1.16 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1} 5.71/1.16 5.71/1.16 5.71/1.16 fork 4: search terminated without proof. 5.71/1.16 5.71/1.16 **** run 60 fork 3 starts with strategy 5.71/1.16 {"max_dseconds":1,"strategy":["negative_pref","posunitpara"],"query_preference":1,"max_depth":2,"depth_penalty":50,"length_penalty":100} 5.91/1.18 5.91/1.18 **** run 85 fork 4 starts with strategy 5.91/1.18 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":1,"sine":1} 5.91/1.18 5.91/1.18 **** run 63 fork 6 starts with strategy 5.91/1.18 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1} 5.91/1.19 5.91/1.19 fork 5: search finished without proof. 5.91/1.19 5.91/1.19 fork 3: search finished without proof. 5.91/1.21 5.91/1.21 **** run 68 fork 3 starts with strategy 5.91/1.21 {"weight_select_ratio":100,"query_preference":1,"strategy":["negative_pref"],"max_dseconds":1} 5.91/1.21 5.91/1.21 **** run 70 fork 5 starts with strategy 5.91/1.21 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1} 5.91/1.21 5.91/1.21 fork 6: search finished without proof. 5.91/1.21 5.91/1.21 fork 4: search finished without proof. 5.91/1.22 5.91/1.22 5.91/1.22 fork 7: search terminated without proof. 5.91/1.22 5.91/1.22 **** run 93 fork 4 starts with strategy 5.91/1.22 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":1,"strategy":["query_focus","prohibit_nested_para"],"max_dseconds":1} 5.91/1.22 5.91/1.22 **** run 71 fork 6 starts with strategy 5.91/1.22 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"sine":1} 6.31/1.24 6.31/1.24 **** run 56 fork 7 starts with strategy 6.31/1.24 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2} 6.31/1.24 6.31/1.24 6.31/1.24 fork 2: search terminated without proof. 6.31/1.25 6.31/1.25 fork 6: search finished without proof. 6.50/1.26 6.50/1.26 **** run 59 fork 2 starts with strategy 6.50/1.26 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":30,"depth_penalty":100} 6.50/1.26 6.50/1.26 fork 7: search finished without proof. 6.50/1.27 6.50/1.27 **** run 79 fork 6 starts with strategy 6.50/1.27 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100} 6.50/1.27 6.50/1.27 fork 0: search finished without proof. 6.50/1.27 6.50/1.27 6.50/1.27 result: proof found 6.50/1.27 for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.50/1.27 by run 10 fork 1 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4} 6.50/1.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.50/1.27 6.50/1.27 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.50/1.27 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and), 6.50/1.27 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])). 6.50/1.27 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))), 6.50/1.27 input). 6.50/1.27 fof('$inc_rosser_op_implies_and', axiom, op_implies_and, 6.50/1.27 input). 6.50/1.27 fof('$inc_op_or_$sk', plain, ((not(and(not(X2),not(X1))) = or(X2,X1)) | ~op_or), 6.50/1.27 inference(negpush_and_skolemize,[],['$inc_op_or'])). 6.50/1.27 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (not(and(not(X),not(Y))) = or(X,Y)))), 6.50/1.27 input). 6.50/1.27 fof('$inc_rosser_op_or', axiom, op_or, 6.50/1.27 input). 6.50/1.27 fof('$inc_kn3_$sk', plain, ((~kn3 | is_a_theorem(implies(implies(X3,X2),implies(not(and(X2,X1)),not(and(X1,X3)))))) & (kn3 | ~is_a_theorem(implies(implies($sk40,$sk39),implies(not(and($sk39,$sk38)),not(and($sk38,$sk40))))))), 6.50/1.27 inference(negpush_and_skolemize,[],['$inc_kn3'])). 6.50/1.27 fof('$inc_kn3', axiom, (kn3 <=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))))), 6.50/1.27 input). 6.50/1.27 fof('$inc_rosser_kn3', axiom, kn3, 6.50/1.27 input). 6.50/1.27 fof('$inc_modus_ponens_$sk', plain, ((~modus_ponens | (is_a_theorem(X2) | (~is_a_theorem(implies(X1,X2)) | ~is_a_theorem(X1)))) & (modus_ponens | (~is_a_theorem($sk7) & (is_a_theorem(implies($sk6,$sk7)) & is_a_theorem($sk6))))), 6.50/1.27 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])). 6.50/1.27 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))), 6.50/1.27 input). 6.50/1.27 fof('$inc_rosser_modus_ponens', axiom, modus_ponens, 6.50/1.27 input). 6.50/1.27 fof('$inc_kn1_$sk', plain, ((~is_a_theorem(implies($sk10,and($sk10,$sk10))) | kn1) & (is_a_theorem(implies(X1,and(X1,X1))) | ~kn1)), 6.50/1.27 inference(negpush_and_skolemize,[],['$inc_kn1'])). 6.50/1.27 fof('$inc_kn1', axiom, ((! [P] : is_a_theorem(implies(P,and(P,P)))) <=> kn1), 6.50/1.27 input). 6.50/1.27 fof('$inc_rosser_kn1', axiom, kn1, 6.50/1.27 input). 6.50/1.27 fof('$inc_kn2_$sk', plain, ((~kn2 | is_a_theorem(implies(and(X2,X1),X2))) & (kn2 | ~is_a_theorem(implies(and($sk42,$sk41),$sk42)))), 6.50/1.27 inference(negpush_and_skolemize,[],['$inc_kn2'])). 6.50/1.27 fof('$inc_kn2', axiom, (kn2 <=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)))), 6.50/1.27 input). 6.50/1.27 fof('$inc_rosser_kn2', axiom, kn2, 6.50/1.27 input). 6.50/1.27 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv), 6.50/1.27 inference(negpush_and_skolemize,[],['$inc_op_equiv'])). 6.50/1.27 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))), 6.50/1.27 input). 6.50/1.27 fof('$inc_rosser_op_equiv', axiom, op_equiv, 6.50/1.27 input). 6.50/1.27 fof('$inc_or_1_$sk', plain, ((~or_1 | is_a_theorem(implies(X2,or(X2,X1)))) & (or_1 | ~is_a_theorem(implies($sk37,or($sk37,$sk36))))), 6.50/1.27 inference(negpush_and_skolemize,[],['$inc_or_1'])). 6.50/1.27 fof('$inc_or_1', axiom, (or_1 <=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))))), 6.50/1.27 input). 6.50/1.27 fof('hilbert_or_1_$sk', plain, ~or_1, 6.50/1.27 inference(negpush_and_skolemize,[],['hilbert_or_1'])). 6.50/1.27 fof('hilbert_or_1', conjecture, or_1, 6.50/1.27 input). 6.50/1.27 cnf('1', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))), 6.50/1.27 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])). 6.50/1.27 cnf('2', plain, ($pr(op_implies_and)), 6.50/1.27 inference(cnf_transformation,[],['$inc_rosser_op_implies_and'])). 6.50/1.27 cnf('3', plain, (implies(X,Y) = not(and(X,not(Y)))), 6.50/1.27 inference(simplify,[],['1','2'])). 6.50/1.27 cnf('4', plain, (~$pr(op_or) | not(and(not(X0),not(X1))) = or(X0,X1)), 6.50/1.27 inference(cnf_transformation,[],['$inc_op_or_$sk'])). 6.50/1.27 cnf('5', plain, ($pr(op_or)), 6.50/1.27 inference(cnf_transformation,[],['$inc_rosser_op_or'])). 6.50/1.27 cnf('6', plain, (implies(not(X),Y) = or(X,Y)), 6.50/1.27 inference(simplify,[then_simplify],['4','5','3'])). 6.50/1.27 cnf('7', plain, (~$pr(kn3) | is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))), 6.50/1.27 inference(cnf_transformation,[],['$inc_kn3_$sk'])). 6.50/1.27 cnf('8', plain, ($pr(kn3)), 6.50/1.27 inference(cnf_transformation,[],['$inc_rosser_kn3'])). 6.50/1.27 cnf('9', plain, (is_a_theorem(implies(implies(X,Y),or(and(Y,Z),not(and(Z,X)))))), 6.50/1.27 inference(simplify,[then_simplify],['7','8','6'])). 6.50/1.27 cnf('10', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)), 6.50/1.27 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])). 6.50/1.27 cnf('11', plain, ($pr(modus_ponens)), 6.50/1.27 inference(cnf_transformation,[],['$inc_rosser_modus_ponens'])). 6.50/1.27 cnf('12', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)), 6.50/1.27 inference(simplify,[],['10','11'])). 6.50/1.27 cnf('13', plain, (is_a_theorem(or(and(X,Y),not(and(Y,Z)))) | ~is_a_theorem(implies(Z,X))), 6.50/1.27 inference(resolution,[],['9','12'])). 6.50/1.27 cnf('14', plain, (~$pr(kn1) | is_a_theorem(implies(X0,and(X0,X0)))), 6.50/1.27 inference(cnf_transformation,[],['$inc_kn1_$sk'])). 6.50/1.27 cnf('15', plain, ($pr(kn1)), 6.50/1.27 inference(cnf_transformation,[],['$inc_rosser_kn1'])). 6.50/1.27 cnf('16', plain, (is_a_theorem(implies(X,and(X,X)))), 6.50/1.27 inference(simplify,[],['14','15'])). 6.50/1.27 cnf('17', plain, (is_a_theorem(or(and(and(X,X),Y),not(and(Y,X))))), 6.50/1.27 inference(resolution,[],['13','16'])). 6.50/1.27 cnf('18', plain, (~is_a_theorem(or(X,Y)) | ~is_a_theorem(not(X)) | is_a_theorem(Y)), 6.50/1.27 inference(paramodulation,[],['6','12'])). 6.50/1.27 cnf('19', plain, (~is_a_theorem(not(and(and(X,X),Y))) | is_a_theorem(not(and(Y,X)))), 6.50/1.27 inference(resolution,[],['17','18'])). 6.50/1.27 cnf('20', plain, (is_a_theorem(not(and(not(X),Y))) | ~is_a_theorem(implies(and(Y,Y),X))), 6.50/1.27 inference(paramodulation,[],['3','19'])). 6.50/1.27 cnf('21', plain, (~$pr(kn2) | is_a_theorem(implies(and(X0,X1),X0))), 6.50/1.27 inference(cnf_transformation,[],['$inc_kn2_$sk'])). 6.50/1.27 cnf('22', plain, ($pr(kn2)), 6.50/1.27 inference(cnf_transformation,[],['$inc_rosser_kn2'])). 6.50/1.27 cnf('23', plain, (is_a_theorem(implies(and(X,Y),X))), 6.50/1.27 inference(simplify,[],['21','22'])). 6.50/1.27 cnf('24', plain, (is_a_theorem(not(and(not(X),X)))), 6.50/1.27 inference(resolution,[],['20','23'])). 6.50/1.27 cnf('25', plain, (is_a_theorem(implies(not(not(X3)),X3))), 6.50/1.27 inference(paramodulation,[],['3','24'])). 6.50/1.27 cnf('26', plain, (is_a_theorem(or(not(X),X))), 6.50/1.27 inference(simplify,[],['25','6'])). 6.50/1.27 cnf('27', plain, (is_a_theorem(implies(implies(not(X3),Y3),or(and(Y3,Z3),implies(Z3,X3))))), 6.50/1.27 inference(paramodulation,[],['3','9'])). 6.50/1.27 cnf('28', plain, (is_a_theorem(implies(or(X,Y),or(and(Y,Z),implies(Z,X))))), 6.50/1.27 inference(simplify,[],['27','6'])). 6.50/1.27 cnf('29', plain, (is_a_theorem(or(and(X,Y),implies(Y,Z))) | ~is_a_theorem(or(Z,X))), 6.50/1.27 inference(resolution,[],['28','12'])). 6.50/1.27 cnf('30', plain, (is_a_theorem(or(and(X,Y),implies(Y,not(X))))), 6.50/1.27 inference(resolution,[],['26','29'])). 6.50/1.27 cnf('31', plain, (is_a_theorem(or(and(X3,not(Y3)),or(Y3,not(X3))))), 6.50/1.27 inference(paramodulation,[],['6','30'])). 6.50/1.27 cnf('32', plain, (implies(implies(X,Y),Z) = or(and(X,not(Y)),Z)), 6.50/1.27 inference(paramodulation,[],['3','6'])). 6.50/1.27 cnf('33', plain, (is_a_theorem(implies(implies(X,Y),or(Y,not(X))))), 6.50/1.27 inference(simplify,[],['31','32'])). 6.50/1.27 cnf('34', plain, (is_a_theorem(or(X,not(Y))) | ~is_a_theorem(implies(Y,X))), 6.50/1.27 inference(resolution,[],['33','12'])). 6.50/1.27 cnf('35', plain, (is_a_theorem(or(and(X,X),not(X)))), 6.50/1.27 inference(resolution,[],['34','16'])). 6.50/1.27 cnf('36', plain, (is_a_theorem(or(and(not(X),Y),implies(Y,and(X,X))))), 6.50/1.27 inference(resolution,[],['35','29'])). 6.50/1.27 cnf('37', plain, (~is_a_theorem(not(and(not(X),Y))) | is_a_theorem(implies(Y,and(X,X)))), 6.50/1.27 inference(resolution,[],['36','18'])). 6.50/1.27 cnf('38', plain, (is_a_theorem(or(X3,and(not(X3),not(X3))))), 6.50/1.27 inference(paramodulation,[],['6','16'])). 6.50/1.27 cnf('39', plain, (implies(X,and(Y,not(Z))) = not(and(X,implies(Y,Z)))), 6.50/1.27 inference(paramodulation,[],['3','3'])). 6.50/1.27 cnf('40', plain, (or(X,and(Y,not(Z))) = not(and(not(X),implies(Y,Z)))), 6.50/1.27 inference(paramodulation,[],['6','39'])). 6.50/1.27 cnf('41', plain, (or(X,and(not(Y),not(Z))) = not(and(not(X),or(Y,Z)))), 6.50/1.27 inference(paramodulation,[],['6','40'])). 6.50/1.27 cnf('42', plain, (is_a_theorem(not(and(not(X),or(X,X))))), 6.50/1.27 inference(simplify,[],['38','41'])). 6.50/1.27 cnf('43', plain, (is_a_theorem(implies(or(X,X),and(X,X)))), 6.50/1.27 inference(resolution,[],['37','42'])). 6.50/1.27 cnf('44', plain, (~is_a_theorem(or(X,X)) | is_a_theorem(and(X,X))), 6.50/1.27 inference(resolution,[],['43','12'])). 6.50/1.27 cnf('45', plain, (is_a_theorem(or(X,not(and(X,Y))))), 6.50/1.27 inference(resolution,[],['34','23'])). 6.50/1.27 cnf('46', plain, (is_a_theorem(or(X,implies(X,Y)))), 6.50/1.27 inference(paramodulation,[],['3','45'])). 6.50/1.27 cnf('47', plain, (is_a_theorem(or(and(implies(X,Y),Z),implies(Z,X)))), 6.50/1.27 inference(resolution,[],['46','29'])). 6.50/1.27 cnf('48', plain, (is_a_theorem(or(and(implies(X3,Y3),not(Z3)),or(Z3,X3)))), 6.50/1.27 inference(paramodulation,[],['6','47'])). 6.50/1.27 cnf('49', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),or(Z,X)))), 6.50/1.27 inference(simplify,[],['48','32'])). 6.50/1.27 cnf('50', plain, (~is_a_theorem(implies(implies(X,Y),Z)) | is_a_theorem(or(Z,X))), 6.50/1.27 inference(resolution,[],['49','12'])). 6.50/1.27 cnf('51', plain, (is_a_theorem(or(or(X,Y),implies(Y,Z)))), 6.50/1.27 inference(resolution,[],['50','49'])). 6.50/1.27 cnf('52', plain, (is_a_theorem(or(or(X,not(Y)),or(Y,Z)))), 6.50/1.27 inference(paramodulation,[],['6','51'])). 6.50/1.27 cnf('53', plain, (is_a_theorem(and(or(X3,not(X3)),or(X3,not(X3))))), 6.50/1.27 inference(resolution,[],['44','52'])). 6.50/1.27 cnf('54', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))), 6.50/1.27 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])). 6.50/1.27 cnf('55', plain, ($pr(op_equiv)), 6.50/1.27 inference(cnf_transformation,[],['$inc_rosser_op_equiv'])). 6.50/1.27 cnf('56', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))), 6.50/1.27 inference(simplify,[],['54','55'])). 6.50/1.27 cnf('57', plain, (equiv(not(X),Y) = and(or(X,Y),implies(Y,not(X)))), 6.50/1.27 inference(paramodulation,[],['6','56'])). 6.50/1.27 cnf('58', plain, (equiv(not(X),not(Y)) = and(or(X,not(Y)),or(Y,not(X)))), 6.50/1.27 inference(paramodulation,[],['6','57'])). 6.50/1.27 cnf('59', plain, (is_a_theorem(equiv(not(X),not(X)))), 6.50/1.27 inference(simplify,[],['53','58'])). 6.50/1.27 cnf('60', plain, (~is_a_theorem(and(X,Y)) | is_a_theorem(X)), 6.50/1.27 inference(resolution,[],['12','23'])). 6.50/1.27 cnf('61', plain, (~is_a_theorem(equiv(not(X),Y)) | is_a_theorem(or(X,Y))), 6.50/1.27 inference(paramodulation,[],['57','60'])). 6.50/1.27 cnf('62', plain, (is_a_theorem(or(X,not(X)))), 6.50/1.27 inference(resolution,[],['59','61'])). 6.50/1.27 cnf('63', plain, (is_a_theorem(or(and(X3,not(Y3)),implies(X3,Y3)))), 6.50/1.27 inference(paramodulation,[],['3','62'])). 6.50/1.27 cnf('64', plain, (is_a_theorem(implies(implies(X,Y),implies(X,Y)))), 6.50/1.27 inference(simplify,[],['63','32'])). 6.50/1.27 cnf('65', plain, (is_a_theorem(or(implies(X,Y),X))), 6.50/1.27 inference(resolution,[],['64','50'])). 6.50/1.27 cnf('66', plain, (is_a_theorem(or(and(X,Y),implies(Y,implies(X,Z))))), 6.50/1.27 inference(resolution,[],['65','29'])). 6.50/1.27 cnf('67', plain, (is_a_theorem(implies(X,implies(Y,Z))) | ~is_a_theorem(not(and(Y,X)))), 6.50/1.27 inference(resolution,[],['66','18'])). 6.50/1.27 cnf('68', plain, (is_a_theorem(implies(X3,implies(not(X3),Y3)))), 6.50/1.27 inference(resolution,[],['67','24'])). 6.50/1.27 cnf('69', plain, (is_a_theorem(implies(X,or(X,Y)))), 6.50/1.27 inference(simplify,[],['68','6'])). 6.50/1.27 cnf('70', plain, (~is_a_theorem(implies($sk37,or($sk37,$sk36))) | $pr(or_1)), 6.50/1.27 inference(cnf_transformation,[],['$inc_or_1_$sk'])). 6.50/1.27 cnf('71', plain, (~$pr(or_1)), 6.50/1.27 inference(cnf_transformation,[],['hilbert_or_1_$sk'])). 6.50/1.27 cnf('72', plain, (~is_a_theorem(implies($sk37,or($sk37,$sk36)))), 6.50/1.27 inference(simplify,[],['70','71'])). 6.50/1.27 cnf('73', plain, ($false), 6.50/1.27 inference(resolution,[],['69','72'])). 6.50/1.27 6.50/1.27 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.50/1.27 6.50/1.27 run 10 fork 1 statistics: 6.50/1.27 ---------------------------------- 6.50/1.27 this run seconds: 0.072328 6.50/1.27 total seconds: 0.240644 6.50/1.27 stat_given_used: 720 6.50/1.27 stat_given_used_at_endgame: 0 6.50/1.27 stat_given_candidates: 1294 6.50/1.27 stat_given_candidates_at_endgame: 0 6.50/1.27 stat_given_candidates_h: 0 6.50/1.27 stat_binres_derived_cl: 6087 6.50/1.27 stat_binres_derived_cl_h: 0 6.50/1.27 stat_factor_derived_cl: 0 6.50/1.27 stat_para_derived_cl: 2835 6.50/1.27 stat_tautologies_discarded: 4 6.50/1.27 stat_forward_subsumed: 945 6.50/1.27 stat_derived_cut: 18 6.50/1.27 stat_derived_rewritten: 74 6.50/1.27 stat_weight_discarded_building: 0 6.50/1.27 stat_weight_discarded_cl: 6470 6.50/1.27 stat_internlimit_discarded_cl: 0 6.50/1.27 stat_simplified: 88 simplified 0 derived 0 given 6.50/1.27 stat_kept_cl: 1477 6.50/1.27 stat_built_cl: 9475 6.50/1.27 stat_hyperres_partial_cl: 0 6.50/1.27 stat_made_rewriters: 10 6.50/1.27 stat_backward_subsumed: 0 6.50/1.27 stat_propagated_subsumed: 0 6.50/1.27 stat_clsubs_attempted: 23891 6.50/1.27 stat_clsubs_fact_groundunit_found: 2 6.50/1.27 stat_clsubs_rule_groundunit_found: 16 6.50/1.27 stat_clsubs_top_meta_attempted: 365760 6.50/1.27 stat_clsubs_top_meta_failed: 341869 6.50/1.27 stat_clsubs_top_meta_nonpref_attempted: 365760 6.50/1.27 stat_clsubs_top_meta_nonpref_succeeded: 116325 6.50/1.27 stat_clsubs_top_meta_pref_attempted: 116325 6.50/1.27 stat_clsubs_top_meta_pref1_succeeded: 111778 6.50/1.27 stat_clsubs_top_meta_pref2_succeeded: 55698 6.50/1.27 stat_clsubs_top_meta_pref3_succeeded: 23891 6.50/1.27 stat_clsubs_top_meta_pref_succeeded: 23891 6.50/1.27 stat_clsubs_meta_attempted: 25941 6.50/1.27 stat_clsubs_meta_failed: 4927 6.50/1.27 stat_clsubs_predsymbs_attempted: 0 6.50/1.27 stat_clsubs_unit_attempted: 21827 6.50/1.27 stat_clsubs_full_attempted: 2064 6.50/1.27 stat_forwardsubs_attempted: 8892 6.50/1.27 stat_lit_hash_added: 1017 6.50/1.27 stat_lit_hash_computed: 12861 6.50/1.27 stat_lit_hash_match_found: 1029 6.50/1.27 stat_lit_hash_match_miss: 20846 6.50/1.27 stat_lit_hash_cut_ok: 23 6.50/1.27 stat_lit_strong_cut_ok: 0 6.50/1.27 stat_lit_hash_subsume_ok: 945 6.50/1.27 clqueue els 10000000 used 1 6.50/1.27 clactive els 10000000 used 721 6.50/1.27 clactivesubsume els 10000000 used 4231 6.50/1.27 queue_termbuf els 200000000 used 94343 6.50/1.27 hyper_termbuf els 100000000 used 1 6.50/1.27 active_termbuf els 100000000 used 29539 6.50/1.27 varstack els 5000 last used 1 6.50/1.27 given_termbuf els 10000000 last used 1 6.50/1.27 simplified_termbuf els 10000000 last used 1 6.50/1.27 derived_termbuf els 10000000 last used 9 6.50/1.27 wr_mallocs: 8803 6.50/1.27 wr_callocs: 19 6.50/1.27 wr_reallocs: 149 6.50/1.27 wr_frees: 2 6.50/1.27 wr_malloc_bytes: 4162877828 6.50/1.27 wr_calloc_bytes: 96065504 6.50/1.27 wr_realloc_bytes: 30672 6.50/1.27 wr_realloc_freebytes: 0 6.50/1.27 ---------------------------------- 6.50/1.28 EOF