%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : FLD061-2 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n021.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 146.72s 146.94s % Output : Refutation 146.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : FLD061-2 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.11/0.13 % Command : run_spass %d %s % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jun 6 20:00:20 EDT 2022 % 0.13/0.34 % CPUTime : % 146.72/146.94 % 146.72/146.94 SPASS V 3.9 % 146.72/146.94 SPASS beiseite: Proof found. % 146.72/146.94 % SZS status Theorem % 146.72/146.94 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 146.72/146.94 SPASS derived 31086 clauses, backtracked 0 clauses, performed 1 splits and kept 21238 clauses. % 146.72/146.94 SPASS allocated 106878 KBytes. % 146.72/146.94 SPASS spent 0:2:24.06 on the problem. % 146.72/146.94 0:00:00.04 for the input. % 146.72/146.94 0:00:00.00 for the FLOTTER CNF translation. % 146.72/146.94 0:00:00.47 for inferences. % 146.72/146.94 0:00:00.01 for the backtracking. % 146.72/146.94 0:2:23.15 for the reduction. % 146.72/146.94 % 146.72/146.94 % 146.72/146.94 Here is a proof with depth 4, length 33 : % 146.72/146.94 % SZS output start Refutation % 146.72/146.94 2[0:Inp] || -> defined(b)*. % 146.72/146.94 3[0:Inp] || -> defined(c)*. % 146.72/146.94 6[0:Inp] || -> defined(v__dfg)*. % 146.72/146.94 7[0:Inp] || -> equalish(add(a,c),u__dfg)*l. % 146.72/146.94 8[0:Inp] || -> equalish(add(d,b),v__dfg)*l. % 146.72/146.94 9[0:Inp] || -> less_or_equal(a,b)*l. % 146.72/146.94 10[0:Inp] || -> less_or_equal(c,d)*l. % 146.72/146.94 11[0:Inp] || less_or_equal(u__dfg,v__dfg)*l -> . % 146.72/146.94 15[0:Inp] defined(u) defined(v) || -> equalish(add(v,u),add(u,v))*. % 146.72/146.94 28[0:Inp] || less_or_equal(u,v)* less_or_equal(v,w)* -> less_or_equal(u,w)*. % 146.72/146.94 29[0:Inp] defined(u) defined(v) || -> less_or_equal(u,v)* less_or_equal(v,u)*. % 146.72/146.94 30[0:Inp] defined(u) || less_or_equal(v,w) -> less_or_equal(add(v,u),add(w,u))*. % 146.72/146.94 33[0:Inp] || equalish(u,v)* -> equalish(v,u). % 146.72/146.94 37[0:Inp] || equalish(u,v)*+ less_or_equal(u,w)* -> less_or_equal(v,w)*. % 146.72/146.94 42[0:Res:10.0,30.1] defined(u) || -> less_or_equal(add(c,u),add(d,u))*l. % 146.72/146.94 46[0:Res:9.0,30.1] defined(u) || -> less_or_equal(add(a,u),add(b,u))*l. % 146.72/146.94 50[0:Res:8.0,33.0] || -> equalish(v__dfg,add(d,b))*r. % 146.72/146.94 55[0:Res:7.0,37.1] || less_or_equal(add(a,c),u)* -> less_or_equal(u__dfg,u). % 146.72/146.94 59[0:Res:55.1,11.0] || less_or_equal(add(a,c),v__dfg)*l -> . % 146.72/146.94 75[0:NCh:28.2,28.0,46.1,59.0] defined(c) || less_or_equal(add(b,c),v__dfg)*l -> . % 146.72/146.94 76[0:SSi:75.0,3.0] || less_or_equal(add(b,c),v__dfg)*l -> . % 146.72/146.94 182[0:Fac:29.2,29.3] defined(u) defined(u) || -> less_or_equal(u,u)*. % 146.72/146.94 231[0:Obv:182.0] defined(u) || -> less_or_equal(u,u)*. % 146.72/146.94 621[0:Res:15.2,37.0] defined(u) defined(v) || less_or_equal(add(v,u),w)*+ -> less_or_equal(add(u,v),w)*. % 146.72/146.94 627[0:Res:50.0,37.0] || less_or_equal(v__dfg,u)*+ -> less_or_equal(add(d,b),u)*. % 146.72/146.94 6750[0:Res:42.1,621.2] defined(u) defined(u) defined(c) || -> less_or_equal(add(u,c),add(d,u))*. % 146.72/146.94 6787[0:Obv:6750.0] defined(u) defined(c) || -> less_or_equal(add(u,c),add(d,u))*. % 146.72/146.94 6788[0:SSi:6787.1,3.0] defined(u) || -> less_or_equal(add(u,c),add(d,u))*. % 146.72/146.94 31017[0:NCh:28.2,28.0,6788.1,76.0] defined(b) || less_or_equal(add(d,b),v__dfg)*l -> . % 146.72/146.94 31087[0:SSi:31017.0,2.0] || less_or_equal(add(d,b),v__dfg)*l -> . % 146.72/146.94 39375[0:Res:231.1,627.0] defined(v__dfg) || -> less_or_equal(add(d,b),v__dfg)*l. % 146.72/146.94 39517[0:SSi:39375.0,6.0] || -> less_or_equal(add(d,b),v__dfg)*l. % 146.72/146.94 39518[0:MRR:39517.0,31087.0] || -> . % 146.72/146.94 % SZS output end Refutation % 146.72/146.94 Formulae used in the proof : b_is_defined c_is_defined v_is_defined add_equals_u_7 add_equals_v_8 less_or_equal_9 less_or_equal_10 not_less_or_equal_11 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 % 146.72/146.94 %------------------------------------------------------------------------------