%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : FLD060-2 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n017.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 : 600s % DateTime : Sat Jul 16 02:28:35 EDT 2022 % Result : Unsatisfiable 183.24s 183.61s % Output : Refutation 183.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.15 % Problem : FLD060-2 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.05/0.16 % Command : run_spass %d %s % 0.14/0.38 % Computer : n017.cluster.edu % 0.14/0.38 % Model : x86_64 x86_64 % 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.38 % Memory : 8042.1875MB % 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.38 % CPULimit : 300 % 0.14/0.38 % WCLimit : 600 % 0.14/0.38 % DateTime : Tue Jun 7 00:17:47 EDT 2022 % 0.14/0.38 % CPUTime : % 183.24/183.61 % 183.24/183.61 SPASS V 3.9 % 183.24/183.61 SPASS beiseite: Proof found. % 183.24/183.61 % SZS status Theorem % 183.24/183.61 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 183.24/183.61 SPASS derived 27793 clauses, backtracked 0 clauses, performed 0 splits and kept 19062 clauses. % 183.24/183.61 SPASS allocated 103847 KBytes. % 183.24/183.61 SPASS spent 0:03:01.10 on the problem. % 183.24/183.61 0:00:00.04 for the input. % 183.24/183.61 0:00:00.00 for the FLOTTER CNF translation. % 183.24/183.61 0:00:00.53 for inferences. % 183.24/183.61 0:00:00.00 for the backtracking. % 183.24/183.61 0:03:00.14 for the reduction. % 183.24/183.61 % 183.24/183.61 % 183.24/183.61 Here is a proof with depth 4, length 31 : % 183.24/183.61 % SZS output start Refutation % 183.24/183.61 1[0:Inp] || -> defined(a)*. % 183.24/183.61 2[0:Inp] || -> defined(b)*. % 183.24/183.61 4[0:Inp] || -> defined(v__dfg)*. % 183.24/183.61 5[0:Inp] || -> equalish(add(a,a),u__dfg)*l. % 183.24/183.61 6[0:Inp] || -> equalish(add(b,b),v__dfg)*l. % 183.24/183.61 7[0:Inp] || -> less_or_equal(a,b)*l. % 183.24/183.61 8[0:Inp] || less_or_equal(u__dfg,v__dfg)*l -> . % 183.24/183.61 12[0:Inp] defined(u) defined(v) || -> equalish(add(v,u),add(u,v))*. % 183.24/183.61 25[0:Inp] || less_or_equal(u,v)* less_or_equal(v,w)* -> less_or_equal(u,w)*. % 183.24/183.61 26[0:Inp] defined(u) defined(v) || -> less_or_equal(u,v)* less_or_equal(v,u)*. % 183.24/183.61 27[0:Inp] defined(u) || less_or_equal(v,w) -> less_or_equal(add(v,u),add(w,u))*. % 183.24/183.61 30[0:Inp] || equalish(u,v)* -> equalish(v,u). % 183.24/183.61 34[0:Inp] || equalish(u,v)*+ less_or_equal(u,w)* -> less_or_equal(v,w)*. % 183.24/183.61 39[0:Res:7.0,27.1] defined(u) || -> less_or_equal(add(a,u),add(b,u))*l. % 183.24/183.61 43[0:Res:6.0,30.0] || -> equalish(v__dfg,add(b,b))*r. % 183.24/183.61 48[0:Res:5.0,34.1] || less_or_equal(add(a,a),u)* -> less_or_equal(u__dfg,u). % 183.24/183.61 52[0:Res:48.1,8.0] || less_or_equal(add(a,a),v__dfg)*l -> . % 183.24/183.61 66[0:NCh:25.2,25.0,39.1,52.0] defined(a) || less_or_equal(add(b,a),v__dfg)*l -> . % 183.24/183.61 67[0:SSi:66.0,1.0] || less_or_equal(add(b,a),v__dfg)*l -> . % 183.24/183.61 183[0:Fac:26.2,26.3] defined(u) defined(u) || -> less_or_equal(u,u)*. % 183.24/183.61 244[0:Obv:183.0] defined(u) || -> less_or_equal(u,u)*. % 183.24/183.61 641[0:Res:12.2,34.0] defined(u) defined(v) || less_or_equal(add(v,u),w)*+ -> less_or_equal(add(u,v),w)*. % 183.24/183.61 649[0:Res:43.0,34.0] || less_or_equal(v__dfg,u)*+ -> less_or_equal(add(b,b),u)*. % 183.24/183.61 6201[0:Res:39.1,641.2] defined(u) defined(u) defined(a) || -> less_or_equal(add(u,a),add(b,u))*. % 183.24/183.61 6232[0:Obv:6201.0] defined(u) defined(a) || -> less_or_equal(add(u,a),add(b,u))*. % 183.24/183.61 6233[0:SSi:6232.1,1.0] defined(u) || -> less_or_equal(add(u,a),add(b,u))*. % 183.24/183.61 29699[0:NCh:25.2,25.0,6233.1,67.0] defined(b) || less_or_equal(add(b,b),v__dfg)*l -> . % 183.24/183.61 29768[0:SSi:29699.0,2.0] || less_or_equal(add(b,b),v__dfg)*l -> . % 183.24/183.61 35593[0:Res:244.1,649.0] defined(v__dfg) || -> less_or_equal(add(b,b),v__dfg)*l. % 183.24/183.61 35717[0:SSi:35593.0,4.0] || -> less_or_equal(add(b,b),v__dfg)*l. % 183.24/183.61 35718[0:MRR:35717.0,29768.0] || -> . % 183.24/183.61 % SZS output end Refutation % 183.24/183.61 Formulae used in the proof : a_is_defined b_is_defined v_is_defined add_equals_u_5 add_equals_v_6 less_or_equal_7 not_less_or_equal_8 commutativity_addition transitivity_of_order_relation totality_of_order_relation compatibility_of_order_relation_and_addition symmetry_of_equality compatibility_of_equality_and_order_relation % 183.24/183.61 %------------------------------------------------------------------------------