%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : FLD067-2 : 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 02:28:37 EDT 2022 % Result : Unsatisfiable 231.21s 231.51s % Output : Refutation 231.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : FLD067-2 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.03/0.13 % Command : run_spass %d %s % 0.14/0.34 % Computer : n017.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Mon Jun 6 20:45:02 EDT 2022 % 0.14/0.35 % CPUTime : % 231.21/231.51 % 231.21/231.51 SPASS V 3.9 % 231.21/231.51 SPASS beiseite: Proof found. % 231.21/231.51 % SZS status Theorem % 231.21/231.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 231.21/231.51 SPASS derived 30605 clauses, backtracked 2861 clauses, performed 3 splits and kept 23579 clauses. % 231.21/231.51 SPASS allocated 107083 KBytes. % 231.21/231.51 SPASS spent 0:3:48.27 on the problem. % 231.21/231.51 0:00:00.03 for the input. % 231.21/231.51 0:00:00.00 for the FLOTTER CNF translation. % 231.21/231.51 0:00:00.52 for inferences. % 231.21/231.51 0:00:00.74 for the backtracking. % 231.21/231.51 0:3:46.57 for the reduction. % 231.21/231.51 % 231.21/231.51 % 231.21/231.51 Here is a proof with depth 3, length 24 : % 231.21/231.51 % SZS output start Refutation % 231.21/231.51 1[0:Inp] || -> defined(a)*. % 231.21/231.51 3[0:Inp] || -> defined(u__dfg)*. % 231.21/231.51 4[0:Inp] || -> less_or_equal(a,b)*l. % 231.21/231.51 5[0:Inp] || -> equalish(add(b,additive_inverse(a)),u__dfg)*l. % 231.21/231.51 6[0:Inp] || less_or_equal(additive_identity,u__dfg)*r -> . % 231.21/231.51 9[0:Inp] defined(u) || -> equalish(add(u,additive_inverse(u)),additive_identity)*l. % 231.21/231.51 18[0:Inp] defined(u) || -> defined(additive_inverse(u))*. % 231.21/231.51 23[0:Inp] || less_or_equal(u,v)* less_or_equal(v,w)* -> less_or_equal(u,w)*. % 231.21/231.51 24[0:Inp] defined(u) defined(v) || -> less_or_equal(u,v)* less_or_equal(v,u)*. % 231.21/231.51 25[0:Inp] defined(u) || less_or_equal(v,w) -> less_or_equal(add(v,u),add(w,u))*. % 231.21/231.51 28[0:Inp] || equalish(u,v)* -> equalish(v,u). % 231.21/231.51 32[0:Inp] || equalish(u,v)*+ less_or_equal(u,w)* -> less_or_equal(v,w)*. % 231.21/231.51 37[0:Res:4.0,25.1] defined(u) || -> less_or_equal(add(a,u),add(b,u))*l. % 231.21/231.51 39[0:Res:32.2,6.0] || equalish(u,additive_identity)*+ less_or_equal(u,u__dfg)* -> . % 231.21/231.51 41[0:Res:5.0,28.0] || -> equalish(u__dfg,add(b,additive_inverse(a)))*r. % 231.21/231.51 166[0:Res:9.1,39.0] defined(u) || less_or_equal(add(u,additive_inverse(u)),u__dfg)*l -> . % 231.21/231.51 186[0:Fac:24.2,24.3] defined(u) defined(u) || -> less_or_equal(u,u)*. % 231.21/231.51 237[0:Obv:186.0] defined(u) || -> less_or_equal(u,u)*. % 231.21/231.51 335[0:NCh:23.2,23.0,166.1,37.1] defined(a) defined(additive_inverse(a)) || less_or_equal(add(b,additive_inverse(a)),u__dfg)*l -> . % 231.21/231.51 339[0:SSi:335.1,335.0,18.0,1.0,1.1] || less_or_equal(add(b,additive_inverse(a)),u__dfg)*l -> . % 231.21/231.51 593[0:Res:41.0,32.0] || less_or_equal(u__dfg,u)*+ -> less_or_equal(add(b,additive_inverse(a)),u)*. % 231.21/231.51 38798[0:Res:237.1,593.0] defined(u__dfg) || -> less_or_equal(add(b,additive_inverse(a)),u__dfg)*l. % 231.21/231.51 39111[0:SSi:38798.0,3.0] || -> less_or_equal(add(b,additive_inverse(a)),u__dfg)*l. % 231.21/231.51 39112[0:MRR:39111.0,339.0] || -> . % 231.21/231.51 % SZS output end Refutation % 231.21/231.51 Formulae used in the proof : a_is_defined u_is_defined less_or_equal_4 add_equals_u_5 not_less_or_equal_6 existence_of_inverse_addition well_definedness_of_additive_inverse transitivity_of_order_relation totality_of_order_relation compatibility_of_order_relation_and_addition symmetry_of_equality compatibility_of_equality_and_order_relation % 231.21/231.51 %------------------------------------------------------------------------------