%------------------------------------------------------------------------------ % File : SPASS+T---2.2.22 % Problem : DAT037_1 : TPTP v8.1.0. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : spasst-tptp-script %s %d % Computer : n009.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 01:31:53 EDT 2022 % Result : Theorem 0.79s 1.04s % Output : Refutation 0.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : DAT037_1 : TPTP v8.1.0. Released v5.0.0. % 0.04/0.12 % Command : spasst-tptp-script %s %d % 0.12/0.33 % Computer : n009.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Fri Jul 1 20:48:52 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.46 % Using integer theory % 0.79/1.04 % 0.79/1.04 % 0.79/1.04 % SZS status Theorem for /tmp/SPASST_16912_n009.cluster.edu % 0.79/1.04 % 0.79/1.04 SPASS V 2.2.22 in combination with yices. % 0.79/1.04 SPASS beiseite: Proof found by SPASS. % 0.79/1.04 Problem: /tmp/SPASST_16912_n009.cluster.edu % 0.79/1.04 SPASS derived 153 clauses, backtracked 0 clauses and kept 103 clauses. % 0.79/1.04 SPASS backtracked 0 times (0 times due to theory inconsistency). % 0.79/1.04 SPASS allocated 6387 KBytes. % 0.79/1.04 SPASS spent 0:00:00.02 on the problem. % 0.79/1.04 0:00:00.00 for the input. % 0.79/1.04 0:00:00.01 for the FLOTTER CNF translation. % 0.79/1.04 0:00:00.00 for inferences. % 0.79/1.04 0:00:00.00 for the backtracking. % 0.79/1.04 0:00:00.01 for the reduction. % 0.79/1.04 0:00:00.00 for interacting with the SMT procedure. % 0.79/1.04 % 0.79/1.04 % 0.79/1.04 % SZS output start CNFRefutation for /tmp/SPASST_16912_n009.cluster.edu % 0.79/1.04 % 0.79/1.04 % Here is a proof with depth 3, length 23 : % 0.79/1.04 4[0:Inp] || -> collection(skc2)*. % 0.79/1.04 5[0:Inp] || -> in(2,skc2)*. % 0.79/1.04 6[0:Inp] || -> in(5,skc2)*. % 0.79/1.04 7[0:Inp] || in(U,empty)* -> . % 0.79/1.04 8[0:Inp] || -> equal(count(skc2),1)**. % 0.79/1.04 10[0:Inp] || collection(U) -> collection(remove(V,U))*. % 0.79/1.04 14[0:Inp] || collection(U) equal(count(U),0)** -> equal(U,empty). % 0.79/1.04 26(e)[0:Inp] || collection(U) in(V,U) -> equal(V,W) in(V,remove(W,U))*. % 0.79/1.04 29[0:Inp] || collection(U) in(V,U) -> equal(count(remove(V,U)),minus(count(U),1))**. % 0.79/1.04 64(e)[0:ArS:29.2] || collection(U) in(V,U) -> equal(count(remove(V,U)),plus(count(U),-1))**. % 0.79/1.04 89[0:Res:4.0,10.0] || -> collection(remove(U,skc2))*. % 0.79/1.04 91[0:Res:6.0,64.1] || collection(skc2) -> equal(count(remove(5,skc2)),plus(count(skc2),-1))**. % 0.79/1.04 97[0:Res:5.0,26.1] || collection(skc2) -> in(2,remove(U,skc2))* equal(2,U). % 0.79/1.04 128[0:MRR:97.0,4.0] || -> equal(2,U) in(2,remove(U,skc2))*. % 0.79/1.04 131[0:Rew:8.0,91.1] || collection(skc2) -> equal(count(remove(5,skc2)),plus(1,-1))**. % 0.79/1.04 132[0:ArS:131.1] || collection(skc2) -> equal(count(remove(5,skc2)),0)**. % 0.79/1.04 133[0:MRR:132.0,4.0] || -> equal(count(remove(5,skc2)),0)**. % 0.79/1.04 307[0:SpL:133.0,14.1] || collection(remove(5,skc2))* equal(0,0) -> equal(remove(5,skc2),empty). % 0.79/1.04 314[0:ArS:307.1] || collection(remove(5,skc2))* -> equal(remove(5,skc2),empty). % 0.79/1.04 315[0:MRR:314.0,89.0] || -> equal(remove(5,skc2),empty)**. % 0.79/1.04 344[0:SpR:315.0,128.1] || -> equal(5,2) in(2,empty)*. % 0.79/1.04 353[0:ArS:344.0] || -> in(2,empty)*. % 0.79/1.04 354(e)[0:MRR:353.0,7.0] || -> . % 0.79/1.04 % 0.79/1.04 % SZS output end CNFRefutation for /tmp/SPASST_16912_n009.cluster.edu % 0.79/1.04 % 0.79/1.04 Formulae used in the proof : fof_collection_type fof_co1 fof_ax1 fof_ax3 fof_ax5 % 0.79/1.06 % 0.79/1.06 SPASS+T ended %------------------------------------------------------------------------------