TSTP Solution File: SYN039-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 : Thu Jul 21 12:17:27 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n027.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 16:39:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.44
% 0.20/0.44 SPASS V 3.9
% 0.20/0.44 SPASS beiseite: Proof found.
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 SPASS derived 159 clauses, backtracked 43 clauses, performed 5 splits and kept 166 clauses.
% 0.20/0.44 SPASS allocated 63271 KBytes.
% 0.20/0.44 SPASS spent 0:00:00.08 on the problem.
% 0.20/0.44 0:00:00.04 for the input.
% 0.20/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.44 0:00:00.00 for inferences.
% 0.20/0.44 0:00:00.00 for the backtracking.
% 0.20/0.44 0:00:00.01 for the reduction.
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Here is a proof with depth 6, length 45 :
% 0.20/0.44 % SZS output start Refutation
% 0.20/0.44 2[0:Inp] || s(u,f1(u,v))+ -> q(f1(u,v),w)* p(f1(u,v),f1(u,v))*.
% 0.20/0.44 5[0:Inp] || -> q(f1(u,v),w)* s(f1(u,v),x)* p(f1(u,v),f1(u,v))*.
% 0.20/0.44 9[0:Inp] || q(u,u)* s(v,v) -> p(f1(w,v),f1(w,v))*.
% 0.20/0.44 11[0:Inp] || p(u,u) s(u,f1(u,v))*+ -> q(f1(u,v),w)*.
% 0.20/0.44 14[0:Inp] || p(u,u)*+ -> q(f1(u,v),w)* s(f1(u,v),x)*.
% 0.20/0.44 18[0:Inp] || p(u,u)* q(v,v)* s(w,w)* -> .
% 0.20/0.44 21[0:Inp] || s(u,u)* s(v,f1(v,u))*+ -> s(w,v)*.
% 0.20/0.44 25[0:Inp] || q(u,u)* q(v,f1(w,v))*+ -> s(x,w)*.
% 0.20/0.44 28[0:MRR:9.2,18.0] || s(u,u)*+ q(v,v)* -> .
% 0.20/0.44 29[1:Spt:25.1,25.2] || q(u,f1(v,u))*+ -> s(w,v)*.
% 0.20/0.44 32[2:Spt:28.0] || s(u,u)* -> .
% 0.20/0.44 43[1:Res:5.0,29.0] || -> s(f1(u,v),w)* p(f1(u,v),f1(u,v))* s(x,y)*.
% 0.20/0.44 48[2:Res:5.1,32.0] || -> q(f1(u,v),w)* p(f1(u,v),f1(u,v))*.
% 0.20/0.44 52[1:Con:43.2] || -> s(f1(u,v),w)* p(f1(u,v),f1(u,v))*.
% 0.20/0.44 53[2:Res:48.0,29.0] || -> p(f1(u,v),f1(u,v))* s(w,x)*.
% 0.20/0.44 58[3:Spt:53.1] || -> s(u,v)*.
% 0.20/0.44 59[3:UnC:58.0,32.0] || -> .
% 0.20/0.44 60[3:Spt:59.0,53.0] || -> p(f1(u,v),f1(u,v))*.
% 0.20/0.44 61[3:Res:60.0,14.0] || -> q(f1(f1(u,v),w),x)* s(f1(f1(u,v),w),y)*.
% 0.20/0.44 62[3:Res:61.0,29.0] || -> s(f1(f1(u,v),w),x)* s(y,z)*.
% 0.20/0.44 69[3:Con:62.1] || -> s(f1(f1(u,v),w),x)*.
% 0.20/0.44 70[3:UnC:69.0,32.0] || -> .
% 0.20/0.44 71[2:Spt:70.0,28.1] || q(u,u)* -> .
% 0.20/0.44 76[1:Res:52.0,21.1] || s(u,u)*+ -> p(f1(v,w),f1(v,w))* s(x,f1(v,w))*.
% 0.20/0.44 89[1:Res:52.0,76.0] || -> p(f1(u,v),f1(u,v))* p(f1(w,x),f1(w,x))* s(y,f1(w,x))*.
% 0.20/0.44 90[1:Con:89.0] || -> p(f1(u,v),f1(u,v))* s(w,f1(u,v))*.
% 0.20/0.44 91[1:MRR:2.0,90.1] || -> q(f1(u,v),w)* p(f1(u,v),f1(u,v))*.
% 0.20/0.44 97[2:Res:91.0,71.0] || -> p(f1(u,v),f1(u,v))*.
% 0.20/0.44 100[2:Res:97.0,14.0] || -> q(f1(f1(u,v),w),x)* s(f1(f1(u,v),w),y)*.
% 0.20/0.44 103[2:Res:100.0,71.0] || -> s(f1(f1(u,v),w),x)*.
% 0.20/0.44 113[2:Res:103.0,11.1] || p(f1(f1(u,v),w),f1(f1(u,v),w))* -> q(f1(f1(f1(u,v),w),x),y)*.
% 0.20/0.44 120[2:MRR:113.0,97.0] || -> q(f1(f1(f1(u,v),w),x),y)*.
% 0.20/0.44 121[2:UnC:120.0,71.0] || -> .
% 0.20/0.44 122[1:Spt:121.0,25.0] || q(u,u)* -> .
% 0.20/0.44 139[1:Res:5.0,122.0] || -> s(f1(u,v),w)* p(f1(u,v),f1(u,v))*.
% 0.20/0.44 159[1:Res:139.0,21.1] || s(u,u)*+ -> p(f1(v,w),f1(v,w))* s(x,f1(v,w))*.
% 0.20/0.44 166[1:Res:139.0,159.0] || -> p(f1(u,v),f1(u,v))* p(f1(w,x),f1(w,x))* s(y,f1(w,x))*.
% 0.20/0.44 167[1:Con:166.0] || -> p(f1(u,v),f1(u,v))* s(w,f1(u,v))*.
% 0.20/0.44 168[1:MRR:2.0,167.1] || -> q(f1(u,v),w)* p(f1(u,v),f1(u,v))*.
% 0.20/0.44 174[1:Res:168.0,122.0] || -> p(f1(u,v),f1(u,v))*.
% 0.20/0.44 181[1:Res:174.0,14.0] || -> q(f1(f1(u,v),w),x)* s(f1(f1(u,v),w),y)*.
% 0.20/0.44 194[1:Res:181.0,122.0] || -> s(f1(f1(u,v),w),x)*.
% 0.20/0.44 206[1:Res:194.0,11.1] || p(f1(f1(u,v),w),f1(f1(u,v),w))* -> q(f1(f1(f1(u,v),w),x),y)*.
% 0.20/0.44 213[1:MRR:206.0,174.0] || -> q(f1(f1(f1(u,v),w),x),y)*.
% 0.20/0.44 214[1:UnC:213.0,122.0] || -> .
% 0.20/0.44 % SZS output end Refutation
% 0.20/0.44 Formulae used in the proof : c_2 c_5 c_9 c_11 c_14 c_18 c_21 c_25
% 0.20/0.44
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