%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV204+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n011.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 : Wed Jul 20 21:41:37 EDT 2022 % Result : Theorem 0.68s 0.86s % Output : Refutation 0.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV204+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.14 % Command : run_spass %d %s % 0.15/0.35 % Computer : n011.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 600 % 0.15/0.35 % DateTime : Thu Jun 16 04:31:21 EDT 2022 % 0.15/0.36 % CPUTime : % 0.68/0.86 % 0.68/0.86 SPASS V 3.9 % 0.68/0.86 SPASS beiseite: Proof found. % 0.68/0.86 % SZS status Theorem % 0.68/0.86 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.68/0.86 SPASS derived 438 clauses, backtracked 253 clauses, performed 2 splits and kept 779 clauses. % 0.68/0.86 SPASS allocated 86466 KBytes. % 0.68/0.86 SPASS spent 0:00:00.49 on the problem. % 0.68/0.86 0:00:00.04 for the input. % 0.68/0.86 0:00:00.08 for the FLOTTER CNF translation. % 0.68/0.86 0:00:00.00 for inferences. % 0.68/0.86 0:00:00.02 for the backtracking. % 0.68/0.86 0:00:00.26 for the reduction. % 0.68/0.86 % 0.68/0.86 % 0.68/0.86 Here is a proof with depth 3, length 27 : % 0.68/0.86 % SZS output start Refutation % 0.68/0.86 2[0:Inp] || -> leq(n0,skc1)*r. % 0.68/0.86 3[0:Inp] || -> leq(skc1,n2)*l. % 0.68/0.86 32[0:Inp] || -> leq(u,u)*. % 0.68/0.86 34[0:Inp] || gt(u,u)* -> . % 0.68/0.86 38[0:Inp] || -> equal(a_select2(rho_defuse,n0),use)**. % 0.68/0.86 39[0:Inp] || -> equal(a_select2(rho_defuse,n1),use)**. % 0.68/0.86 40[0:Inp] || -> equal(a_select2(rho_defuse,n2),use)**. % 0.68/0.86 84[0:Inp] || equal(a_select2(rho_defuse,skc1),use)** -> . % 0.68/0.86 126[0:Inp] || leq(u,v)* -> gt(v,u) equal(u,v). % 0.68/0.86 138[0:Inp] || leq(u,n2)* leq(n0,u) -> equal(u,n2) equal(u,n1) equal(u,n0). % 0.68/0.86 192[0:Res:126.1,84.0] || leq(use,a_select2(rho_defuse,skc1))*r -> gt(a_select2(rho_defuse,skc1),use). % 0.68/0.86 244[0:Res:3.0,138.1] || leq(n0,skc1)*r -> equal(skc1,n0) equal(skc1,n1) equal(skc1,n2). % 0.68/0.86 376[0:MRR:244.0,2.0] || -> equal(skc1,n2)** equal(skc1,n1) equal(skc1,n0). % 0.68/0.86 438[1:Spt:376.0] || -> equal(skc1,n2)**. % 0.68/0.86 441[1:Rew:438.0,192.1] || leq(use,a_select2(rho_defuse,skc1))*r -> gt(a_select2(rho_defuse,n2),use). % 0.68/0.86 583[1:Rew:40.0,441.1,40.0,441.0,438.0,441.0] || leq(use,use)* -> gt(use,use). % 0.68/0.86 584[1:MRR:583.0,583.1,32.0,34.0] || -> . % 0.68/0.86 644[1:Spt:584.0,376.0,438.0] || equal(skc1,n2)** -> . % 0.68/0.86 645[1:Spt:584.0,376.1,376.2] || -> equal(skc1,n1)** equal(skc1,n0). % 0.68/0.86 649[2:Spt:645.0] || -> equal(skc1,n1)**. % 0.68/0.86 658[2:Rew:649.0,192.1] || leq(use,a_select2(rho_defuse,skc1))*r -> gt(a_select2(rho_defuse,n1),use). % 0.68/0.86 791[2:Rew:39.0,658.1,39.0,658.0,649.0,658.0] || leq(use,use)* -> gt(use,use). % 0.68/0.86 792[2:MRR:791.0,791.1,32.0,34.0] || -> . % 0.68/0.86 852[2:Spt:792.0,645.0,649.0] || equal(skc1,n1)** -> . % 0.68/0.86 853[2:Spt:792.0,645.1] || -> equal(skc1,n0)**. % 0.68/0.86 886[2:Rew:38.0,192.1,853.0,192.1,38.0,192.0,853.0,192.0] || leq(use,use)* -> gt(use,use). % 0.68/0.86 887[2:MRR:886.0,886.1,32.0,34.0] || -> . % 0.68/0.86 % SZS output end Refutation % 0.68/0.86 Formulae used in the proof : quaternion_ds1_inuse_0015 reflexivity_leq irreflexivity_gt leq_gt2 finite_domain_2 % 0.68/0.86 %------------------------------------------------------------------------------