TSTP Solution File: NUM853+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM853+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 : Mon Jul 18 14:31:06 EDT 2022
% Result : Theorem 0.73s 0.91s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM853+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n004.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
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jul 7 15:11:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.73/0.91
% 0.73/0.91 SPASS V 3.9
% 0.73/0.91 SPASS beiseite: Proof found.
% 0.73/0.91 % SZS status Theorem
% 0.73/0.91 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.91 SPASS derived 2521 clauses, backtracked 8 clauses, performed 1 splits and kept 1232 clauses.
% 0.73/0.91 SPASS allocated 87230 KBytes.
% 0.73/0.91 SPASS spent 0:00:00.55 on the problem.
% 0.73/0.91 0:00:00.03 for the input.
% 0.73/0.91 0:00:00.03 for the FLOTTER CNF translation.
% 0.73/0.91 0:00:00.03 for inferences.
% 0.73/0.91 0:00:00.00 for the backtracking.
% 0.73/0.91 0:00:00.42 for the reduction.
% 0.73/0.91
% 0.73/0.91
% 0.73/0.91 Here is a proof with depth 10, length 28 :
% 0.73/0.91 % SZS output start Refutation
% 0.73/0.91 2[0:Inp] || greater(vd486,vd488)* -> .
% 0.73/0.91 4[0:Inp] || greater(u,u)* -> .
% 0.73/0.91 7[0:Inp] || -> greater(vplus(u,v),u)*.
% 0.73/0.91 15[0:Inp] || -> greater(vmul(vd486,vd487),vmul(vd488,vd487))*.
% 0.73/0.91 25[0:Inp] || less(u,v) -> greater(v,u)*.
% 0.73/0.91 27[0:Inp] || -> equal(vplus(u,v),vplus(v,u))*.
% 0.73/0.91 32[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v).
% 0.73/0.91 44[0:Inp] || greater(u,v) -> greater(vmul(u,w),vmul(v,w))*.
% 0.73/0.91 56[0:Inp] || greater(u,v) -> equal(vplus(v,skf5(v,u)),u)**.
% 0.73/0.91 58[0:Inp] || -> equal(vplus(vplus(u,v),w),vplus(u,vplus(v,w)))**.
% 0.73/0.91 70[0:Res:25.1,2.0] || less(vd488,vd486)*l -> .
% 0.73/0.91 71[0:Res:32.1,2.0] || -> less(vd486,vd488)*r equal(vd488,vd486).
% 0.73/0.91 75[1:Spt:71.1] || -> equal(vd488,vd486)**.
% 0.73/0.91 79[1:Rew:75.0,15.0] || -> greater(vmul(vd486,vd487),vmul(vd486,vd487))*.
% 0.73/0.91 81[1:MRR:79.0,4.0] || -> .
% 0.73/0.91 82[1:Spt:81.0,71.1,75.0] || equal(vd488,vd486)** -> .
% 0.73/0.91 83[1:Spt:81.0,71.0] || -> less(vd486,vd488)*r.
% 0.73/0.91 98[0:SpR:27.0,7.0] || -> greater(vplus(u,v),v)*.
% 0.73/0.91 402[0:SpR:58.0,98.0] || -> greater(vplus(u,vplus(v,w)),w)*.
% 0.73/0.91 450[0:SpR:27.0,402.0] || -> greater(vplus(u,vplus(v,w)),v)*.
% 0.73/0.91 476[0:SpR:56.1,450.0] || greater(u,v) -> greater(vplus(w,u),v)*.
% 0.73/0.91 2575[0:Res:476.1,4.0] || greater(u,vplus(v,u))* -> .
% 0.73/0.91 2649[0:SpL:27.0,2575.0] || greater(u,vplus(u,v))* -> .
% 0.73/0.91 2680[0:SpL:56.1,2649.0] || greater(u,v)*+ greater(v,u)* -> .
% 0.73/0.91 3071[0:Res:15.0,2680.0] || greater(vmul(vd488,vd487),vmul(vd486,vd487))* -> .
% 0.73/0.91 3096[0:Res:44.1,3071.0] || greater(vd488,vd486)* -> .
% 0.73/0.91 3099[0:Res:32.1,3096.0] || -> less(vd488,vd486)*l equal(vd488,vd486).
% 0.73/0.91 3101[1:MRR:3099.0,3099.1,70.0,82.0] || -> .
% 0.73/0.91 % SZS output end Refutation
% 0.73/0.91 Formulae used in the proof : holds_a40_conseq_a40_307_a41__a44__a32_490_a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_3_a41_ ass_a40_cond_a40_189_a44__a32_0_a41__a44__a32_0_a41_ holds_a40_antec_a40_307_a41__a44__a32_489_a44__a32_0_a41_ ass_a40_cond_a40_147_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_61_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_299_a44__a32_0_a41__a44__a32_2_a41_ def_a40_cond_a40_conseq_a40_axiom_a40_3_a41__a41__a44__a32_11_a41__a44__a32_1_a41_ ass_a40_cond_a40_33_a44__a32_0_a41__a44__a32_0_a41_
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